van Huyssteen, Daniel; Rivarola, Felipe Lopez; Etse, Guillermo; Steinmann, Paul On adaptive mesh coarsening procedures for the virtual element method for two-dimensional elastic problems. (English) Zbl 07822153 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116507, 24 p. (2024). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{D. van Huyssteen} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116507, 24 p. (2024; Zbl 07822153) Full Text: DOI arXiv
Roth, Julian; Thiele, Jan Philipp; Köcher, Uwe; Wick, Thomas Tensor-product space-time goal-oriented error control and adaptivity with partition-of-unity dual-weighted residuals for nonstationary flow problems. (English) Zbl 07804040 Comput. Methods Appl. Math. 24, No. 1, 185-214 (2024). MSC: 65N30 65N50 76D05 PDFBibTeX XMLCite \textit{J. Roth} et al., Comput. Methods Appl. Math. 24, No. 1, 185--214 (2024; Zbl 07804040) Full Text: DOI arXiv
Hasbani, Jose G.; Sepúlveda, Paulina; Muga, Ignacio; Calo, Victor M.; Rojas, Sergio Adaptive stabilized finite elements via residual minimization onto bubble enrichments. (English) Zbl 07783921 Comput. Math. Appl. 151, 1-11 (2023). MSC: 65N30 65N12 76M10 65N15 65N50 PDFBibTeX XMLCite \textit{J. G. Hasbani} et al., Comput. Math. Appl. 151, 1--11 (2023; Zbl 07783921) Full Text: DOI arXiv
Pereira, Rodrigo M.; Nguyen van yen, Natacha; Schneider, Kai; Farge, Marie Are adaptive Galerkin schemes dissipative? (English) Zbl 1528.65079 SIAM Rev. 65, No. 4, 1109-1134 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M70 65L06 65N30 65N35 65N50 65T60 35Q31 35Q35 PDFBibTeX XMLCite \textit{R. M. Pereira} et al., SIAM Rev. 65, No. 4, 1109--1134 (2023; Zbl 1528.65079) Full Text: DOI
Chamoin, Ludovic; Legoll, Frédéric An introductory review on a posteriori error estimation in finite element computations. (English) Zbl 1528.65104 SIAM Rev. 65, No. 4, 963-1028 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65B05 65N12 65N50 65-02 PDFBibTeX XMLCite \textit{L. Chamoin} and \textit{F. Legoll}, SIAM Rev. 65, No. 4, 963--1028 (2023; Zbl 1528.65104) Full Text: DOI arXiv
Wang, Yangshuai; Wang, Hao Efficient a posteriori error control of a concurrent multiscale method with sharp interface for crystalline defects. (English) Zbl 1527.65132 J. Sci. Comput. 97, No. 2, Paper No. 51, 30 p. (2023). MSC: 65N30 65N50 65N12 65N15 74E15 82D25 81V55 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{H. Wang}, J. Sci. Comput. 97, No. 2, Paper No. 51, 30 p. (2023; Zbl 1527.65132) Full Text: DOI
Avalos-Patiño, J. E.; Neethling, S. J.; Piggott, M. D. A parameter-free LES model for anisotropic mesh adaptivity. (English) Zbl 07761331 Comput. Methods Appl. Mech. Eng. 416, Article ID 116365, 25 p. (2023). MSC: 76-XX 86-XX PDFBibTeX XMLCite \textit{J. E. Avalos-Patiño} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116365, 25 p. (2023; Zbl 07761331) Full Text: DOI
Helml, Valentin; Innerberger, Michael; Praetorius, Dirk Plain convergence of goal-oriented adaptive FEM. (English) Zbl 07741355 Comput. Math. Appl. 147, 130-149 (2023). MSC: 65N30 65N12 65N50 65N15 35J25 PDFBibTeX XMLCite \textit{V. Helml} et al., Comput. Math. Appl. 147, 130--149 (2023; Zbl 07741355) Full Text: DOI arXiv
Bracco, Cesare; Giannelli, Carlotta; Kapl, Mario; Vázquez, Rafael Adaptive isogeometric methods with \(C^1\) (truncated) hierarchical splines on planar multi-patch domains. (English) Zbl 1517.65012 Math. Models Methods Appl. Sci. 33, No. 9, 1829-1874 (2023). MSC: 65D07 65D17 65N30 65N50 PDFBibTeX XMLCite \textit{C. Bracco} et al., Math. Models Methods Appl. Sci. 33, No. 9, 1829--1874 (2023; Zbl 1517.65012) Full Text: DOI arXiv
Watschinger, Raphael; Of, Günther A time-adaptive space-time FMM for the heat equation. (English) Zbl 1514.65121 Comput. Methods Appl. Math. 23, No. 2, 445-471 (2023). MSC: 65M38 65M50 PDFBibTeX XMLCite \textit{R. Watschinger} and \textit{G. Of}, Comput. Methods Appl. Math. 23, No. 2, 445--471 (2023; Zbl 1514.65121) Full Text: DOI
Rath, Biswajeet; Mao, Xiaoyu; Jaiman, Rajeev K. An interface preserving and residual-based adaptivity for phase-field modeling of fully Eulerian fluid-structure interaction. (English) Zbl 07696961 J. Comput. Phys. 488, Article ID 112188, 30 p. (2023). MSC: 76Mxx 65Nxx 74Fxx PDFBibTeX XMLCite \textit{B. Rath} et al., J. Comput. Phys. 488, Article ID 112188, 30 p. (2023; Zbl 07696961) Full Text: DOI
Daniel, Patrik; Vohralík, Martin Guaranteed contraction of adaptive inexact hp-refinement strategies with realistic stopping criteria. (English) Zbl 1516.65126 ESAIM, Math. Model. Numer. Anal. 57, No. 1, 329-366 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N15 65N12 65N50 PDFBibTeX XMLCite \textit{P. Daniel} and \textit{M. Vohralík}, ESAIM, Math. Model. Numer. Anal. 57, No. 1, 329--366 (2023; Zbl 1516.65126) Full Text: DOI
Fish, Alex C.; Reynolds, Daniel R. Adaptive time step control for multirate infinitesimal methods. (English) Zbl 1515.65210 SIAM J. Sci. Comput. 45, No. 2, A958-A984 (2023). MSC: 65L50 65L05 65L06 PDFBibTeX XMLCite \textit{A. C. Fish} and \textit{D. R. Reynolds}, SIAM J. Sci. Comput. 45, No. 2, A958--A984 (2023; Zbl 1515.65210) Full Text: DOI arXiv
Innerberger, Michael; Praetorius, Dirk MooAFEM: an object oriented Matlab code for higher-order adaptive FEM for (nonlinear) elliptic PDEs. (English) Zbl 1511.65003 Appl. Math. Comput. 442, Article ID 127731, 17 p. (2023). MSC: 65-04 65N30 65N50 68W30 PDFBibTeX XMLCite \textit{M. Innerberger} and \textit{D. Praetorius}, Appl. Math. Comput. 442, Article ID 127731, 17 p. (2023; Zbl 1511.65003) Full Text: DOI arXiv
Heltai, Luca; Lei, Wenyu Adaptive finite element approximations for elliptic problems using regularized forcing data. (English) Zbl 1515.65292 SIAM J. Numer. Anal. 61, No. 2, 431-456 (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N50 65N15 35B65 PDFBibTeX XMLCite \textit{L. Heltai} and \textit{W. Lei}, SIAM J. Numer. Anal. 61, No. 2, 431--456 (2023; Zbl 1515.65292) Full Text: DOI arXiv
Muñoz, David; Albelda, José; Ródenas, Juan José; Nadal, Enrique Improvement in 3D topology optimization with \(h\)-adaptive Refinement using the Cartesian grid finite element method. (English) Zbl 07767898 Int. J. Numer. Methods Eng. 123, No. 13, 3045-3072 (2022). MSC: 74Sxx 65Nxx 74Pxx PDFBibTeX XMLCite \textit{D. Muñoz} et al., Int. J. Numer. Methods Eng. 123, No. 13, 3045--3072 (2022; Zbl 07767898) Full Text: DOI
Beck, Joakim; Liu, Yang; von Schwerin, Erik; Tempone, Raúl Goal-oriented adaptive finite element multilevel Monte Carlo with convergence rates. (English) Zbl 1507.65008 Comput. Methods Appl. Mech. Eng. 402, Article ID 115582, 39 p. (2022). MSC: 65C05 35R60 65N22 65N50 PDFBibTeX XMLCite \textit{J. Beck} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115582, 39 p. (2022; Zbl 1507.65008) Full Text: DOI arXiv
Bringmann, Philipp; Carstensen, Carsten; Tran, Ngoc Tien Adaptive least-squares, discontinuous Petrov-Galerkin, and hybrid high-order methods. (English) Zbl 1513.74150 Schröder, Jörg (ed.) et al., Non-standard discretisation methods in solid mechanics. Cham: Springer. Lect. Notes Appl. Comput. Mech. 98, 107-147 (2022). MSC: 74S05 74B05 74P10 PDFBibTeX XMLCite \textit{P. Bringmann} et al., Lect. Notes Appl. Comput. Mech. 98, 107--147 (2022; Zbl 1513.74150) Full Text: DOI
Pereira, Rodrigo M.; Nguyen Van Yen, Natacha; Schneider, Kai; Farge, Marie Adaptive solution of initial value problems by a dynamical Galerkin scheme. (English) Zbl 1498.65162 Multiscale Model. Simul. 20, No. 3, 1147-1166 (2022). MSC: 65M60 65M50 65T60 65M12 35L65 PDFBibTeX XMLCite \textit{R. M. Pereira} et al., Multiscale Model. Simul. 20, No. 3, 1147--1166 (2022; Zbl 1498.65162) Full Text: DOI arXiv
Bespalov, Alex; Silvester, David J.; Xu, Feng Error estimation and adaptivity for stochastic collocation finite elements. I: Single-level approximation. (English) Zbl 07617456 SIAM J. Sci. Comput. 44, No. 5, A3393-A3412 (2022). MSC: 65-XX 35R60 65N15 65N30 65N35 65N50 65C20 PDFBibTeX XMLCite \textit{A. Bespalov} et al., SIAM J. Sci. Comput. 44, No. 5, A3393--A3412 (2022; Zbl 07617456) Full Text: DOI arXiv
Bartels, Sören; Tovey, Robert; Wassmer, Friedrich Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems. (English) Zbl 1502.65187 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 1871-1888 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65K10 65N12 65N15 65N50 49M29 35B65 68U10 PDFBibTeX XMLCite \textit{S. Bartels} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 6, 1871--1888 (2022; Zbl 1502.65187) Full Text: DOI arXiv
Gupta, Abhinav; Krishnan, U. Meenu; Mandal, Tushar Kanti; Chowdhury, Rajib; Nguyen, Vinh Phu An adaptive mesh refinement algorithm for phase-field fracture models: application to brittle, cohesive, and dynamic fracture. (English) Zbl 1507.74384 Comput. Methods Appl. Mech. Eng. 399, Article ID 115347, 28 p. (2022). MSC: 74R10 74S05 65N30 65N55 PDFBibTeX XMLCite \textit{A. Gupta} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115347, 28 p. (2022; Zbl 1507.74384) Full Text: DOI
Hofreither, Clemens; Mitter, Ludwig; Speleers, Hendrik Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces. (English) Zbl 1502.65247 IMA J. Numer. Anal. 42, No. 3, 2429-2458 (2022). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N55 65N30 65D07 65D05 65N50 65D17 65N12 PDFBibTeX XMLCite \textit{C. Hofreither} et al., IMA J. Numer. Anal. 42, No. 3, 2429--2458 (2022; Zbl 1502.65247) Full Text: DOI
Leung, Wing Tat; Wang, Yating Multirate partially explicit scheme for multiscale flow problems. (English) Zbl 1492.65268 SIAM J. Sci. Comput. 44, No. 3, A1775-A1806 (2022). MSC: 65M60 65M06 65N30 65M50 76S05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{W. T. Leung} and \textit{Y. Wang}, SIAM J. Sci. Comput. 44, No. 3, A1775--A1806 (2022; Zbl 1492.65268) Full Text: DOI arXiv
Longo, Marcello Adaptive quasi-Monte Carlo finite element methods for parametric elliptic PDEs. (English) Zbl 1492.65323 J. Sci. Comput. 92, No. 1, Paper No. 19, 24 p. (2022). MSC: 65N30 65C05 65N50 PDFBibTeX XMLCite \textit{M. Longo}, J. Sci. Comput. 92, No. 1, Paper No. 19, 24 p. (2022; Zbl 1492.65323) Full Text: DOI
Mallik, Gouranga Goal-oriented a posteriori error estimation for the biharmonic problem based on an equilibrated moment tensor. (English) Zbl 1524.65845 Comput. Math. Appl. 117, 312-325 (2022). MSC: 65N30 65N15 65N50 35J25 74S05 31A30 74K20 35Q74 PDFBibTeX XMLCite \textit{G. Mallik}, Comput. Math. Appl. 117, 312--325 (2022; Zbl 1524.65845) Full Text: DOI arXiv
Gantner, Gregor; Praetorius, Dirk Adaptive BEM for elliptic PDE systems. II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations. (English) Zbl 1490.65299 Comput. Math. Appl. 117, 74-96 (2022). MSC: 65N38 65D07 65N12 65N50 PDFBibTeX XMLCite \textit{G. Gantner} and \textit{D. Praetorius}, Comput. Math. Appl. 117, 74--96 (2022; Zbl 1490.65299) Full Text: DOI arXiv
Carson, Hugh A.; Allmaras, Steven; Galbraith, Marshall; Darmofal, David Convergence of anisotropic mesh adaptation via metric optimization. (English) Zbl 1491.65127 SIAM J. Numer. Anal. 60, No. 3, 1281-1306 (2022). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{H. A. Carson} et al., SIAM J. Numer. Anal. 60, No. 3, 1281--1306 (2022; Zbl 1491.65127) Full Text: DOI
Houston, Paul; Rourke, Connor J.; van der Zee, Kristoffer G. Linearization of the travel time functional in porous media flows. (English) Zbl 1490.65198 SIAM J. Sci. Comput. 44, No. 3, B531-B557 (2022). MSC: 65M60 65M15 65M50 76S05 PDFBibTeX XMLCite \textit{P. Houston} et al., SIAM J. Sci. Comput. 44, No. 3, B531--B557 (2022; Zbl 1490.65198) Full Text: DOI arXiv
Kawecki, Ellya L.; Smears, Iain Convergence of adaptive discontinuous Galerkin and \(C^0\)-interior penalty finite element methods for Hamilton-Jacobi-Bellman and Isaacs equations. (English) Zbl 1492.65314 Found. Comput. Math. 22, No. 2, 315-364 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N50 65N12 35J10 91A05 91A15 35Q91 91-08 PDFBibTeX XMLCite \textit{E. L. Kawecki} and \textit{I. Smears}, Found. Comput. Math. 22, No. 2, 315--364 (2022; Zbl 1492.65314) Full Text: DOI arXiv
Ahuja, K.; Endtmayer, B.; Steinbach, M. C.; Wick, T. Multigoal-oriented error estimation and mesh adaptivity for fluid-structure interaction. (English) Zbl 1493.65186 J. Comput. Appl. Math. 412, Article ID 114315, 18 p. (2022). MSC: 65N30 65N50 65N15 76D05 74F10 74K10 76M10 74S05 PDFBibTeX XMLCite \textit{K. Ahuja} et al., J. Comput. Appl. Math. 412, Article ID 114315, 18 p. (2022; Zbl 1493.65186) Full Text: DOI arXiv
van Huyssteen, Daniel; Rivarola, Felipe Lopez; Etse, Guillermo; Steinmann, Paul On mesh refinement procedures for the virtual element method for two-dimensional elastic problems. (English) Zbl 1507.74517 Comput. Methods Appl. Mech. Eng. 393, Article ID 114849, 35 p. (2022). MSC: 74S05 65N50 65N30 74B05 PDFBibTeX XMLCite \textit{D. van Huyssteen} et al., Comput. Methods Appl. Mech. Eng. 393, Article ID 114849, 35 p. (2022; Zbl 1507.74517) Full Text: DOI
Yamazaki, Hiroe; Weller, Hilary; Cotter, Colin J.; Browne, Philip A. Conservation with moving meshes over orography. (English) Zbl 07525183 J. Comput. Phys. 461, Article ID 111217, 18 p. (2022). MSC: 65Mxx 65Nxx 76Mxx PDFBibTeX XMLCite \textit{H. Yamazaki} et al., J. Comput. Phys. 461, Article ID 111217, 18 p. (2022; Zbl 07525183) Full Text: DOI arXiv
Gantner, Gregor; Praetorius, Dirk Plain convergence of adaptive algorithms without exploiting reliability and efficiency. (English) Zbl 1501.65117 IMA J. Numer. Anal. 42, No. 2, 1434-1453 (2022). MSC: 65N30 65N38 65N50 65N12 65N15 26A33 35R11 PDFBibTeX XMLCite \textit{G. Gantner} and \textit{D. Praetorius}, IMA J. Numer. Anal. 42, No. 2, 1434--1453 (2022; Zbl 1501.65117) Full Text: DOI arXiv
Tausch, Johannes Adaptive quadrature rules for Galerkin BEM. (English) Zbl 1504.65081 Comput. Math. Appl. 113, 270-281 (2022). MSC: 65D32 65D30 65N38 65N50 PDFBibTeX XMLCite \textit{J. Tausch}, Comput. Math. Appl. 113, 270--281 (2022; Zbl 1504.65081) Full Text: DOI
Grüne, Lars; Schaller, Manuel; Schiela, Anton Efficient model predictive control for parabolic PDEs with goal oriented error estimation. (English) Zbl 1492.35391 SIAM J. Sci. Comput. 44, No. 1, A471-A500 (2022). MSC: 35Q93 93C20 93B52 65M60 65M06 65N30 65M50 49K40 49N10 PDFBibTeX XMLCite \textit{L. Grüne} et al., SIAM J. Sci. Comput. 44, No. 1, A471--A500 (2022; Zbl 1492.35391) Full Text: DOI arXiv
Dassi, F.; Gedicke, J.; Mascotto, L. Adaptive virtual element methods with equilibrated fluxes. (English) Zbl 1489.65157 Appl. Numer. Math. 173, 249-278 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 65N12 65N50 35J05 PDFBibTeX XMLCite \textit{F. Dassi} et al., Appl. Numer. Math. 173, 249--278 (2022; Zbl 1489.65157) Full Text: DOI arXiv
Basile, Francesca; Chapelier, Jean-Baptiste; de la Llave Plata, Marta; Laraufie, Romain; Frey, Pascal Unstructured \(h\)- and hp-adaptive strategies for discontinuous Galerkin methods based on a posteriori error estimation for compressible flows. (English) Zbl 1521.76317 Comput. Fluids 233, Article ID 105245, 21 p. (2022). MSC: 76M10 65M60 65M15 65M50 76Nxx PDFBibTeX XMLCite \textit{F. Basile} et al., Comput. Fluids 233, Article ID 105245, 21 p. (2022; Zbl 1521.76317) Full Text: DOI
Diening, Lars; Storn, Johannes A space-time DPG method for the heat equation. (English) Zbl 1524.65789 Comput. Math. Appl. 105, 41-53 (2022). MSC: 65N30 65M60 65M12 65N12 65M15 35K05 35Q79 35A15 65M50 65N50 PDFBibTeX XMLCite \textit{L. Diening} and \textit{J. Storn}, Comput. Math. Appl. 105, 41--53 (2022; Zbl 1524.65789) Full Text: DOI arXiv
Alla, Alessandro; Gräßle, Carmen; Hinze, Michael Time adaptivity in model predictive control. (English) Zbl 1478.49030 J. Sci. Comput. 90, No. 1, Paper No. 12, 24 p. (2022). MSC: 49M41 65M50 93B45 49J20 PDFBibTeX XMLCite \textit{A. Alla} et al., J. Sci. Comput. 90, No. 1, Paper No. 12, 24 p. (2022; Zbl 1478.49030) Full Text: DOI arXiv
Chorfi, Nejmeddine Time and space meshes adaptivity for the resolution of a semi-linear heat equation. (English) Zbl 1510.35335 Asymptotic Anal. 125, No. 3-4, 389-398 (2021). MSC: 35Q79 35K58 65M06 65N35 65M15 65M12 65M50 65N50 PDFBibTeX XMLCite \textit{N. Chorfi}, Asymptotic Anal. 125, No. 3--4, 389--398 (2021; Zbl 1510.35335) Full Text: DOI
Becker, Roland; Innerberger, Michael; Praetorius, Dirk Optimal convergence rates for goal-oriented FEM with quadratic goal functional. (English) Zbl 1476.65290 Comput. Methods Appl. Math. 21, No. 2, 267-288 (2021). MSC: 65N30 65N12 65N50 65Y20 41A25 PDFBibTeX XMLCite \textit{R. Becker} et al., Comput. Methods Appl. Math. 21, No. 2, 267--288 (2021; Zbl 1476.65290) Full Text: DOI arXiv
Aldakheel, Fadi; Noii, Nima; Wick, Thomas; Allix, Olivier; Wriggers, Peter Multilevel global-local techniques for adaptive ductile phase-field fracture. (English) Zbl 1507.74031 Comput. Methods Appl. Mech. Eng. 387, Article ID 114175, 38 p. (2021). MSC: 74A45 74S05 65M60 PDFBibTeX XMLCite \textit{F. Aldakheel} et al., Comput. Methods Appl. Mech. Eng. 387, Article ID 114175, 38 p. (2021; Zbl 1507.74031) Full Text: DOI arXiv
Parés, N.; Nguyen, N. C.; Díez, P.; Peraire, J. A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: application to the hybridizable discontinuous Galerkin method. (English) Zbl 1507.65249 Comput. Methods Appl. Mech. Eng. 386, Article ID 114088, 29 p. (2021). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{N. Parés} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114088, 29 p. (2021; Zbl 1507.65249) Full Text: DOI arXiv
Buffa, Annalisa; Giannelli, Carlotta Remarks on Poincaré and interpolation estimates for truncated hierarchical B-splines. (English) Zbl 1474.65462 Math. Models Methods Appl. Sci. 31, No. 3, 525-535 (2021). MSC: 65N50 65D07 41A15 PDFBibTeX XMLCite \textit{A. Buffa} and \textit{C. Giannelli}, Math. Models Methods Appl. Sci. 31, No. 3, 525--535 (2021; Zbl 1474.65462) Full Text: DOI
Rachowicz, Waldemar; Zdunek, Adam; Cecot, Witold A discontinuous Petrov-Galerkin method for compressible Navier-Stokes equations in three dimensions. (English) Zbl 1524.65585 Comput. Math. Appl. 102, 113-136 (2021). MSC: 65M60 65N30 76M10 65N12 65N15 74S05 65M06 76M20 65N50 35B20 76N15 PDFBibTeX XMLCite \textit{W. Rachowicz} et al., Comput. Math. Appl. 102, 113--136 (2021; Zbl 1524.65585) Full Text: DOI
Berrone, Stefano; Vicini, Fabio A reduced basis method for a PDE-constrained optimization formulation in discrete fracture network flow simulations. (English) Zbl 1524.65755 Comput. Math. Appl. 99, 182-194 (2021). MSC: 65N30 76S05 65N15 76M10 65N50 49M41 65N12 35R60 35R02 PDFBibTeX XMLCite \textit{S. Berrone} and \textit{F. Vicini}, Comput. Math. Appl. 99, 182--194 (2021; Zbl 1524.65755) Full Text: DOI
Dedner, Andreas; Giesselmann, Jan; Pryer, Tristan; Ryan, Jennifer K. Residual estimates for post-processors in elliptic problems. (English) Zbl 1493.65194 J. Sci. Comput. 88, No. 2, Paper No. 34, 28 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65N12 65N50 35J25 35B45 PDFBibTeX XMLCite \textit{A. Dedner} et al., J. Sci. Comput. 88, No. 2, Paper No. 34, 28 p. (2021; Zbl 1493.65194) Full Text: DOI arXiv
Funken, Stefan A.; Schmidt, Anja A coarsening algorithm on adaptive red-green-blue refined meshes. (English) Zbl 1476.65324 Numer. Algorithms 87, No. 3, 1147-1176 (2021). MSC: 65N50 65N30 65-04 PDFBibTeX XMLCite \textit{S. A. Funken} and \textit{A. Schmidt}, Numer. Algorithms 87, No. 3, 1147--1176 (2021; Zbl 1476.65324) Full Text: DOI arXiv
Carstensen, Carsten; Ma, Rui Collective marking for arbitrary order adaptive least-squares finite element methods with optimal rates. (English) Zbl 1524.65772 Comput. Math. Appl. 95, 271-281 (2021). MSC: 65N30 65N12 65N50 65N15 35J25 65K10 41A25 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{R. Ma}, Comput. Math. Appl. 95, 271--281 (2021; Zbl 1524.65772) Full Text: DOI
Schafelner, Andreas; Vassilevski, Panayot S. Numerical results for adaptive (negative norm) constrained first order system least squares formulations. (English) Zbl 1524.65591 Comput. Math. Appl. 95, 256-270 (2021). MSC: 65M60 65M50 65M15 65M12 65M55 65F08 65F10 65K10 65Y05 58A12 PDFBibTeX XMLCite \textit{A. Schafelner} and \textit{P. S. Vassilevski}, Comput. Math. Appl. 95, 256--270 (2021; Zbl 1524.65591) Full Text: DOI
Kercher, Andrew D.; Corrigan, Andrew A least-squares formulation of the moving discontinuous Galerkin finite element method with interface condition enforcement. (English) Zbl 1524.65824 Comput. Math. Appl. 95, 143-171 (2021). MSC: 65N30 76M10 65N12 35J25 65N15 65K10 65N50 76N06 35Q30 65M60 65L12 PDFBibTeX XMLCite \textit{A. D. Kercher} and \textit{A. Corrigan}, Comput. Math. Appl. 95, 143--171 (2021; Zbl 1524.65824) Full Text: DOI arXiv
Henneking, S.; Demkowicz, L. A numerical study of the pollution error and DPG adaptivity for long waveguide simulations. (English) Zbl 1524.65812 Comput. Math. Appl. 95, 85-100 (2021). MSC: 65N30 35J05 65N12 65N15 78A50 78A25 35Q60 65N50 65Y05 PDFBibTeX XMLCite \textit{S. Henneking} and \textit{L. Demkowicz}, Comput. Math. Appl. 95, 85--100 (2021; Zbl 1524.65812) Full Text: DOI arXiv
Giani, Stefano; Solin, Pavel Solving elliptic eigenproblems with adaptive multimesh \(hp\)-FEM. (English) Zbl 1475.65181 J. Comput. Appl. Math. 394, Article ID 113528, 15 p. (2021). MSC: 65N25 65N30 65N50 35P15 PDFBibTeX XMLCite \textit{S. Giani} and \textit{P. Solin}, J. Comput. Appl. Math. 394, Article ID 113528, 15 p. (2021; Zbl 1475.65181) Full Text: DOI
Bause, Markus; Bruchhäuser, Marius Paul; Köcher, Uwe Flexible goal-oriented adaptivity for higher-order space-time discretizations of transport problems with coupled flow. (English) Zbl 1524.65514 Comput. Math. Appl. 91, 17-35 (2021). MSC: 65M60 65N30 65N15 74F10 76M10 65M15 65M12 76D07 35A15 65M50 35Q35 35Q74 PDFBibTeX XMLCite \textit{M. Bause} et al., Comput. Math. Appl. 91, 17--35 (2021; Zbl 1524.65514) Full Text: DOI arXiv
Dong, Zhaonan; Mascotto, Lorenzo; Sutton, Oliver J. Residual-based a posteriori error estimates for \(hp\)-discontinuous Galerkin discretizations of the biharmonic problem. (English) Zbl 1473.65297 SIAM J. Numer. Anal. 59, No. 3, 1273-1298 (2021). MSC: 65N30 65N12 65N15 65N50 31A30 PDFBibTeX XMLCite \textit{Z. Dong} et al., SIAM J. Numer. Anal. 59, No. 3, 1273--1298 (2021; Zbl 1473.65297) Full Text: DOI arXiv
Jahandari, Hormoz; Bihlo, Alex Forward modelling of geophysical electromagnetic data on unstructured grids using an adaptive mimetic finite-difference method. (English) Zbl 1460.86003 Comput. Geosci. 25, No. 3, 1083-1104 (2021). MSC: 86-08 86A25 65N06 PDFBibTeX XMLCite \textit{H. Jahandari} and \textit{A. Bihlo}, Comput. Geosci. 25, No. 3, 1083--1104 (2021; Zbl 1460.86003) Full Text: DOI
Carstensen, Carsten; Ma, Rui Adaptive mixed finite element methods for non-self-adjoint indefinite second-order elliptic PDEs with optimal rates. (English) Zbl 1468.65185 SIAM J. Numer. Anal. 59, No. 2, 955-982 (2021). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{R. Ma}, SIAM J. Numer. Anal. 59, No. 2, 955--982 (2021; Zbl 1468.65185) Full Text: DOI
Rojas, Sergio; Pardo, David; Behnoudfar, Pouria; Calo, Victor M. Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm. (English) Zbl 1506.65225 Comput. Methods Appl. Mech. Eng. 377, Article ID 113686, 27 p. (2021). MSC: 65N30 65N12 65N50 PDFBibTeX XMLCite \textit{S. Rojas} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113686, 27 p. (2021; Zbl 1506.65225) Full Text: DOI arXiv
Irisarri, Diego; Hauke, Guillermo A posteriori error estimation and adaptivity based on VMS for the incompressible Navier-Stokes equations. (English) Zbl 1506.76082 Comput. Methods Appl. Mech. Eng. 373, Article ID 113508, 22 p. (2021). MSC: 76M10 65N30 65N15 65N50 76D05 PDFBibTeX XMLCite \textit{D. Irisarri} and \textit{G. Hauke}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113508, 22 p. (2021; Zbl 1506.76082) Full Text: DOI
He, Lisha; Liu, Sitong; Gan, Yong; Seaid, Mohammed; Niu, Chang Development of time-space adaptive smoothed particle hydrodynamics method with Runge-Kutta Chebyshev scheme. (English) Zbl 1464.76138 Eng. Anal. Bound. Elem. 126, 55-67 (2021). MSC: 76M28 65M75 65L06 65M50 74S99 PDFBibTeX XMLCite \textit{L. He} et al., Eng. Anal. Bound. Elem. 126, 55--67 (2021; Zbl 1464.76138) Full Text: DOI
Carstensen, Carsten; Nataraj, Neela Adaptive Morley FEM for the von Kármán equations with optimal convergence rates. (English) Zbl 1467.65107 SIAM J. Numer. Anal. 59, No. 2, 696-719 (2021). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N30 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{N. Nataraj}, SIAM J. Numer. Anal. 59, No. 2, 696--719 (2021; Zbl 1467.65107) Full Text: DOI arXiv
Petrides, Socratis; Demkowicz, Leszek An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics. (English) Zbl 1524.65927 Comput. Math. Appl. 87, 12-26 (2021). MSC: 65N55 65N30 35J05 65F10 65F08 65N50 76Q05 78A40 35Q60 76M10 78M10 35Q35 PDFBibTeX XMLCite \textit{S. Petrides} and \textit{L. Demkowicz}, Comput. Math. Appl. 87, 12--26 (2021; Zbl 1524.65927) Full Text: DOI arXiv
Varma, V. Dhanya; Nadupuri, Suresh Kumar; Chamakuri, Nagaiah A posteriori error estimates and an adaptive finite element solution for the system of unsteady convection-diffusion-reaction equations in fluidized beds. (English) Zbl 1460.65127 Appl. Numer. Math. 163, 108-125 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M60 65M06 65N30 65M15 65M50 65H10 80A19 35Q79 PDFBibTeX XMLCite \textit{V. D. Varma} et al., Appl. Numer. Math. 163, 108--125 (2021; Zbl 1460.65127) Full Text: DOI
Arévalo, Carmen; Söderlind, Gustaf; Hadjimichael, Yiannis; Fekete, Imre Local error estimation and step size control in adaptive linear multistep methods. (English) Zbl 1458.65080 Numer. Algorithms 86, No. 2, 537-563 (2021). MSC: 65L06 65L50 PDFBibTeX XMLCite \textit{C. Arévalo} et al., Numer. Algorithms 86, No. 2, 537--563 (2021; Zbl 1458.65080) Full Text: DOI
Bespalov, Alex; Rocchi, Leonardo; Silvester, David T-IFISS: a toolbox for adaptive FEM computation. (English) Zbl 1524.65004 Comput. Math. Appl. 81, 373-390 (2021). MSC: 65-04 65N30 65N15 65N50 35J25 35R60 97M50 PDFBibTeX XMLCite \textit{A. Bespalov} et al., Comput. Math. Appl. 81, 373--390 (2021; Zbl 1524.65004) Full Text: DOI arXiv
Christopher, Joshua; Falgout, Robert D.; Schroder, Jacob B.; Guzik, Stephen M.; Gao, Xinfeng A space-time parallel algorithm with adaptive mesh refinement for computational fluid dynamics. (English) Zbl 07704917 Comput. Vis. Sci. 23, No. 1-4, Paper No. 13, 20 p. (2020). MSC: 65Nxx PDFBibTeX XMLCite \textit{J. Christopher} et al., Comput. Vis. Sci. 23, No. 1--4, Paper No. 13, 20 p. (2020; Zbl 07704917) Full Text: DOI
Sadaka, Georges; Rakotondrandisa, Aina; Tournier, Pierre-Henri; Luddens, Francky; Lothodé, Corentin; Danaila, Ionut Parallel finite-element codes for the simulation of two-dimensional and three-dimensional solid-liquid phase-change systems with natural convection. (English) Zbl 1515.76102 Comput. Phys. Commun. 257, Article ID 107492, 26 p. (2020). MSC: 76M10 76T99 76R10 65Y05 PDFBibTeX XMLCite \textit{G. Sadaka} et al., Comput. Phys. Commun. 257, Article ID 107492, 26 p. (2020; Zbl 1515.76102) Full Text: DOI
Rakotondrandisa, Aina; Sadaka, Georges; Danaila, Ionut A finite-element toolbox for the simulation of solid-liquid phase-change systems with natural convection. (English) Zbl 07687608 Comput. Phys. Commun. 253, Article ID 107188, 20 p. (2020). MSC: 76-XX 80-XX PDFBibTeX XMLCite \textit{A. Rakotondrandisa} et al., Comput. Phys. Commun. 253, Article ID 107188, 20 p. (2020; Zbl 07687608) Full Text: DOI
An, Wei; Huang, Zenghui; Lv, Hongqiang An h-adaptivity DG method on locally curved tetrahedral mesh for solving compressible flows. (English) Zbl 1474.76037 Trans. Nanjing Univ. Aeronaut. Astronaut. 37, No. 5, 702-712 (2020). MSC: 76M10 65M60 65M50 PDFBibTeX XMLCite \textit{W. An} et al., Trans. Nanjing Univ. Aeronaut. Astronaut. 37, No. 5, 702--712 (2020; Zbl 1474.76037) Full Text: DOI
Grave, Malú; Camata, José J.; Coutinho, Alvaro L. G. A. A new convected level-set method for gas bubble dynamics. (English) Zbl 1521.76334 Comput. Fluids 209, Article ID 104667, 22 p. (2020). MSC: 76M10 65M60 76N15 76T10 PDFBibTeX XMLCite \textit{M. Grave} et al., Comput. Fluids 209, Article ID 104667, 22 p. (2020; Zbl 1521.76334) Full Text: DOI
Dobrev, Veselin; Knupp, Patrick; Kolev, Tzanio; Mittal, Ketan; Rieben, Robert; Tomov, Vladimir Simulation-driven optimization of high-order meshes in ALE hydrodynamics. (English) Zbl 1502.76058 Comput. Fluids 208, Article ID 104602, 10 p. (2020). MSC: 76M10 65M50 65M60 PDFBibTeX XMLCite \textit{V. Dobrev} et al., Comput. Fluids 208, Article ID 104602, 10 p. (2020; Zbl 1502.76058) Full Text: DOI arXiv
Gao, Huadong; Ju, Lili; Li, Xiao; Duddu, Ravindra A space-time adaptive finite element method with exponential time integrator for the phase field model of pitting corrosion. (English) Zbl 1453.65317 J. Comput. Phys. 406, Article ID 109191, 20 p. (2020). MSC: 65M60 65Z05 74S05 65M50 74E05 74M25 PDFBibTeX XMLCite \textit{H. Gao} et al., J. Comput. Phys. 406, Article ID 109191, 20 p. (2020; Zbl 1453.65317) Full Text: DOI
Dargaville, Steven; Buchan, A. G.; Smedley-Stevenson, R. P.; Smith, P. N.; Pain, C. C. Scalable angular adaptivity for Boltzmann transport. (English) Zbl 1453.65297 J. Comput. Phys. 406, Article ID 109124, 32 p. (2020). MSC: 65M50 65M60 35Q20 82D75 65Z05 PDFBibTeX XMLCite \textit{S. Dargaville} et al., J. Comput. Phys. 406, Article ID 109124, 32 p. (2020; Zbl 1453.65297) Full Text: DOI arXiv
Carstensen, Carsten; Puttkammer, Sophie How to prove the discrete reliability for nonconforming finite element methods. (English) Zbl 1463.65362 J. Comput. Math. 38, No. 1, 142-175 (2020). MSC: 65N30 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{S. Puttkammer}, J. Comput. Math. 38, No. 1, 142--175 (2020; Zbl 1463.65362) Full Text: DOI arXiv
Langer, Ulrich; Schafelner, Andreas Adaptive space-time finite element methods for non-autonomous parabolic problems with distributional sources. (English) Zbl 1508.65130 Comput. Methods Appl. Math. 20, No. 4, 677-693 (2020). MSC: 65M60 65M50 65M15 65M12 65Y05 35K20 PDFBibTeX XMLCite \textit{U. Langer} and \textit{A. Schafelner}, Comput. Methods Appl. Math. 20, No. 4, 677--693 (2020; Zbl 1508.65130) Full Text: DOI arXiv
Funken, Stefan A.; Schmidt, Anja Adaptive mesh refinement in 2D – an efficient implementation in Matlab. (English) Zbl 1451.65217 Comput. Methods Appl. Math. 20, No. 3, 459-479 (2020). MSC: 65N50 65N30 68N15 PDFBibTeX XMLCite \textit{S. A. Funken} and \textit{A. Schmidt}, Comput. Methods Appl. Math. 20, No. 3, 459--479 (2020; Zbl 1451.65217) Full Text: DOI
Gantner, Gregor; Praetorius, Dirk Adaptive IGAFEM with optimal convergence rates: T-splines. (English) Zbl 1506.65209 Comput. Aided Geom. Des. 81, Article ID 101906, 20 p. (2020). MSC: 65N30 65D07 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{G. Gantner} and \textit{D. Praetorius}, Comput. Aided Geom. Des. 81, Article ID 101906, 20 p. (2020; Zbl 1506.65209) Full Text: DOI arXiv
Dörfler, Willy; Wieners, Christian; Ziegler, Daniel Space-time discontinuous Galerkin methods for linear hyperbolic systems and the application to the forward problem in seismic imaging. (English) Zbl 1454.65114 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 477-485 (2020). MSC: 65M60 65M55 65M50 65Y05 35L50 74J05 86A15 35Q86 PDFBibTeX XMLCite \textit{W. Dörfler} et al., Springer Proc. Math. Stat. 323, 477--485 (2020; Zbl 1454.65114) Full Text: DOI
Jahandari, Hormoz; MacLachlan, Scott; Haynes, Ronald D.; Madden, Niall Finite element modelling of geophysical electromagnetic data with goal-oriented \(hr\)-adaptivity. (English) Zbl 1439.86027 Comput. Geosci. 24, No. 3, 1257-1283 (2020). MSC: 86A25 65N15 65N30 78A25 PDFBibTeX XMLCite \textit{H. Jahandari} et al., Comput. Geosci. 24, No. 3, 1257--1283 (2020; Zbl 1439.86027) Full Text: DOI
Linders, Viktor; Carpenter, Mark H.; Nordström, Jan Accurate solution-adaptive finite difference schemes for coarse and fine grids. (English) Zbl 1436.65105 J. Comput. Phys. 410, Article ID 109393, 24 p. (2020). MSC: 65M06 65M50 PDFBibTeX XMLCite \textit{V. Linders} et al., J. Comput. Phys. 410, Article ID 109393, 24 p. (2020; Zbl 1436.65105) Full Text: DOI
Daniel, Patrik; Ern, Alexandre; Vohralík, Martin An adaptive \(hp\)-refinement strategy with inexact solvers and computable guaranteed bound on the error reduction factor. (English) Zbl 1441.65095 Comput. Methods Appl. Mech. Eng. 359, Article ID 112607, 30 p. (2020). MSC: 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{P. Daniel} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112607, 30 p. (2020; Zbl 1441.65095) Full Text: DOI
Giani, Stefano An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients. (English) Zbl 1436.65180 Adv. Comput. Math. 46, No. 2, Paper No. 13, 23 p. (2020). MSC: 65N30 65N50 35J15 35R05 PDFBibTeX XMLCite \textit{S. Giani}, Adv. Comput. Math. 46, No. 2, Paper No. 13, 23 p. (2020; Zbl 1436.65180) Full Text: DOI Link
Sun, Haohan; Schillinger, Dominik; Yuan, Si Implicit a posteriori error estimation in cut finite elements. (English) Zbl 1465.74168 Comput. Mech. 65, No. 4, 967-988 (2020). MSC: 74S05 65M60 65N30 PDFBibTeX XMLCite \textit{H. Sun} et al., Comput. Mech. 65, No. 4, 967--988 (2020; Zbl 1465.74168) Full Text: DOI
Dolejší, Vít; Tichý, Petr On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates. (English) Zbl 1435.65188 J. Sci. Comput. 83, No. 1, Paper No. 5, 29 p. (2020). MSC: 65N15 65N30 65F10 15A06 65N50 PDFBibTeX XMLCite \textit{V. Dolejší} and \textit{P. Tichý}, J. Sci. Comput. 83, No. 1, Paper No. 5, 29 p. (2020; Zbl 1435.65188) Full Text: DOI arXiv
Giani, Stefano; Seaid, Mohammed Multi-hp adaptive discontinuous Galerkin methods for simplified \(P_{N}\) approximations of 3D radiative transfer in non-gray media. (English) Zbl 1447.80006 Appl. Numer. Math. 150, 252-273 (2020). Reviewer: Yang Yang (Wuxi) MSC: 80M10 65N30 35R09 45K05 65N50 65F08 65F10 80A21 PDFBibTeX XMLCite \textit{S. Giani} and \textit{M. Seaid}, Appl. Numer. Math. 150, 252--273 (2020; Zbl 1447.80006) Full Text: DOI
Mackenzie, J. A.; Mekwi, W. R. An \(hr\)-adaptive method for the cubic nonlinear Schrödinger equation. (English) Zbl 1431.65163 J. Comput. Appl. Math. 364, Article ID 112320, 20 p. (2020). MSC: 65M50 65M06 65M25 65M12 35Q55 35Q41 PDFBibTeX XMLCite \textit{J. A. Mackenzie} and \textit{W. R. Mekwi}, J. Comput. Appl. Math. 364, Article ID 112320, 20 p. (2020; Zbl 1431.65163) Full Text: DOI arXiv
Carstensen, Carsten Collective marking for adaptive least-squares finite element methods with optimal rates. (English) Zbl 1426.65171 Math. Comput. 89, No. 321, 89-103 (2020). MSC: 65N30 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{C. Carstensen}, Math. Comput. 89, No. 321, 89--103 (2020; Zbl 1426.65171) Full Text: DOI
Dargaville, S.; Buchan, A. G.; Smedley-Stevenson, R. P.; Smith, P. N.; Pain, C. C. Angular adaptivity with spherical harmonics for Boltzmann transport. (English) Zbl 1453.65420 J. Comput. Phys. 397, Article ID 108846, 19 p. (2019). MSC: 65N35 65N50 35Q20 65M70 76M22 PDFBibTeX XMLCite \textit{S. Dargaville} et al., J. Comput. Phys. 397, Article ID 108846, 19 p. (2019; Zbl 1453.65420) Full Text: DOI arXiv
Betcke, Timo; Haberl, Alexander; Praetorius, Dirk Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra. (English) Zbl 1453.78012 J. Comput. Phys. 397, Article ID 108837, 19 p. (2019). MSC: 78M15 78A30 65N38 65Z05 65N50 PDFBibTeX XMLCite \textit{T. Betcke} et al., J. Comput. Phys. 397, Article ID 108837, 19 p. (2019; Zbl 1453.78012) Full Text: DOI arXiv
Kuzmin, Dmitri; Quezada de Luna, Manuel; Kees, Christopher E. A partition of unity approach to adaptivity and limiting in continuous finite element methods. (English) Zbl 1442.65379 Comput. Math. Appl. 78, No. 3, 944-957 (2019). MSC: 65N30 65M50 65M60 65N50 PDFBibTeX XMLCite \textit{D. Kuzmin} et al., Comput. Math. Appl. 78, No. 3, 944--957 (2019; Zbl 1442.65379) Full Text: DOI Link
Sysala, Stanislav; Haslinger, Jaroslav; Repin, Sergey Reliable computation and local mesh adaptivity in limit analysis. (English) Zbl 1463.49041 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24–29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 149-158 (2019). Reviewer: Ondřej Bartoš (Praha) MSC: 49M15 74C05 74S05 90C25 PDFBibTeX XMLCite \textit{S. Sysala} et al., in: Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24--29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 149--158 (2019; Zbl 1463.49041) Full Text: DOI
Noii, Nima; Wick, Thomas A phase-field description for pressurized and non-isothermal propagating fractures. (English) Zbl 1441.74213 Comput. Methods Appl. Mech. Eng. 351, 860-890 (2019). MSC: 74R10 35Q74 49M15 74S05 65M60 74F10 PDFBibTeX XMLCite \textit{N. Noii} and \textit{T. Wick}, Comput. Methods Appl. Mech. Eng. 351, 860--890 (2019; Zbl 1441.74213) Full Text: DOI arXiv
Ju, Xiaozhe; Mahnken, Rolf Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity. (English) Zbl 1441.74249 Comput. Methods Appl. Mech. Eng. 351, 297-329 (2019). MSC: 74S05 65M60 65M15 65M50 74C05 PDFBibTeX XMLCite \textit{X. Ju} and \textit{R. Mahnken}, Comput. Methods Appl. Mech. Eng. 351, 297--329 (2019; Zbl 1441.74249) Full Text: DOI
Berrone, S.; Borio, A.; Vicini, F. Reliable a posteriori mesh adaptivity in discrete fracture network flow simulations. (English) Zbl 1441.76053 Comput. Methods Appl. Mech. Eng. 354, 904-931 (2019). MSC: 76M10 65N30 65N50 76S05 86A05 PDFBibTeX XMLCite \textit{S. Berrone} et al., Comput. Methods Appl. Mech. Eng. 354, 904--931 (2019; Zbl 1441.76053) Full Text: DOI
Gimperlein, Heiko; Stocek, Jakub Space-time adaptive finite elements for nonlocal parabolic variational inequalities. (English) Zbl 1441.65077 Comput. Methods Appl. Mech. Eng. 352, 137-171 (2019). MSC: 65M60 65K15 65M15 65M50 74M10 74M15 74S05 PDFBibTeX XMLCite \textit{H. Gimperlein} and \textit{J. Stocek}, Comput. Methods Appl. Mech. Eng. 352, 137--171 (2019; Zbl 1441.65077) Full Text: DOI arXiv
Bespalov, Alex; Praetorius, Dirk; Rocchi, Leonardo; Ruggeri, Michele Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs. (English) Zbl 1440.65184 Comput. Methods Appl. Mech. Eng. 345, 951-982 (2019). MSC: 65N30 35R60 65N15 65N50 PDFBibTeX XMLCite \textit{A. Bespalov} et al., Comput. Methods Appl. Mech. Eng. 345, 951--982 (2019; Zbl 1440.65184) Full Text: DOI arXiv
Antonietti, Paola; Canuto, Claudio; Verani, Marco An adaptive \(hp\)-DG-FE method for elliptic problems: convergence and optimality in the 1D case. (English) Zbl 1449.65310 Commun. Appl. Math. Comput. 1, No. 3, 309-331 (2019). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{P. Antonietti} et al., Commun. Appl. Math. Comput. 1, No. 3, 309--331 (2019; Zbl 1449.65310) Full Text: DOI
Auzinger, Winfried; Hofstätter, Harald; Koch, Othmar; Kropielnicka, Karolina; Singh, Pranav Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime. (English) Zbl 1433.65153 Appl. Math. Comput. 362, Article ID 124550, 10 p. (2019). MSC: 65M06 35Q55 65M15 65M50 81Q05 81-08 PDFBibTeX XMLCite \textit{W. Auzinger} et al., Appl. Math. Comput. 362, Article ID 124550, 10 p. (2019; Zbl 1433.65153) Full Text: DOI arXiv
Canuto, Claudio Adaptive \(hp\)-FEM for eigenvalue computations. (English) Zbl 1427.65351 Calcolo 56, No. 4, Paper No. 39, 25 p. (2019). MSC: 65N30 65N25 65N50 PDFBibTeX XMLCite \textit{C. Canuto}, Calcolo 56, No. 4, Paper No. 39, 25 p. (2019; Zbl 1427.65351) Full Text: DOI