Avijit, D.; Natesan, S. An efficient DWR-type a posteriori error bound of SDFEM for singularly perturbed convection-diffusion PDEs. (English) Zbl 1491.65123 J. Sci. Comput. 90, No. 2, Paper No. 73, 16 p. (2022). MSC: 65N30 65N12 65N15 65N22 65N50 35B25 76R50 PDFBibTeX XMLCite \textit{D. Avijit} and \textit{S. Natesan}, J. Sci. Comput. 90, No. 2, Paper No. 73, 16 p. (2022; Zbl 1491.65123) Full Text: DOI
Innerberger, Michael; Praetorius, Dirk Instance-optimal goal-oriented adaptivity. (English) Zbl 1474.65440 Comput. Methods Appl. Math. 21, No. 1, 109-126 (2021). MSC: 65N30 41A25 65N12 65N50 PDFBibTeX XMLCite \textit{M. Innerberger} and \textit{D. Praetorius}, Comput. Methods Appl. Math. 21, No. 1, 109--126 (2021; Zbl 1474.65440) 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
Celiker, Emine; Lin, Ping An efficient finite element method with exponential mesh refinement for the solution of the Allen-Cahn equation in non-convex polygons. (English) Zbl 1473.65179 Commun. Comput. Phys. 28, No. 4, 1536-1560 (2020). MSC: 65M50 65M60 65M15 65Z05 PDFBibTeX XMLCite \textit{E. Celiker} and \textit{P. Lin}, Commun. Comput. Phys. 28, No. 4, 1536--1560 (2020; Zbl 1473.65179) Full Text: DOI
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
Heid, Pascal; Wihler, Thomas P. Adaptive iterative linearization Galerkin methods for nonlinear problems. (English) Zbl 07240964 Math. Comput. 89, No. 326, 2707-2734 (2020). MSC: 47H10 65N30 47J25 47H05 49M15 65J15 PDFBibTeX XMLCite \textit{P. Heid} and \textit{T. P. Wihler}, Math. Comput. 89, No. 326, 2707--2734 (2020; Zbl 07240964) Full Text: DOI arXiv
Araya, Rodolfo; Aguayo, Jorge; Muñoz, Santiago An adaptive stabilized method for advection-diffusion-reaction equation. (English) Zbl 1436.65170 J. Comput. Appl. Math. 376, Article ID 112858, 22 p. (2020). MSC: 65N30 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{R. Araya} et al., J. Comput. Appl. Math. 376, Article ID 112858, 22 p. (2020; Zbl 1436.65170) Full Text: DOI
Walloth, Mirjam A reliable, efficient and localized error estimator for a discontinuous Galerkin method for the Signorini problem. (English) Zbl 1406.65120 Appl. Numer. Math. 135, 276-296 (2019). MSC: 65N30 65N15 74M15 74B10 35Q74 PDFBibTeX XMLCite \textit{M. Walloth}, Appl. Numer. Math. 135, 276--296 (2019; Zbl 1406.65120) Full Text: DOI
Rokoš, O.; Peerlings, R. H. J.; Zeman, J. Extended variational quasicontinuum methodology for lattice networks with damage and crack propagation. (English) Zbl 1439.74463 Comput. Methods Appl. Mech. Eng. 320, 769-792 (2017). MSC: 74S05 65N30 74R05 74R10 PDFBibTeX XMLCite \textit{O. Rokoš} et al., Comput. Methods Appl. Mech. Eng. 320, 769--792 (2017; Zbl 1439.74463) Full Text: DOI arXiv Link
Li, Guanglian; Xu, Yifeng A convergent adaptive finite element method for cathodic protection. (English) Zbl 1355.65156 Comput. Methods Appl. Math. 17, No. 1, 105-120 (2017). MSC: 65N30 35J65 65N12 65N15 PDFBibTeX XMLCite \textit{G. Li} and \textit{Y. Xu}, Comput. Methods Appl. Math. 17, No. 1, 105--120 (2017; Zbl 1355.65156) Full Text: DOI
Frank, Florian; Reuter, Balthasar; Aizinger, Vadym; Knabner, Peter FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. I: Diffusion operator. (English) Zbl 1443.65202 Comput. Math. Appl. 70, No. 1, 11-46 (2015). MSC: 65M60 65Y10 65Y15 PDFBibTeX XMLCite \textit{F. Frank} et al., Comput. Math. Appl. 70, No. 1, 11--46 (2015; Zbl 1443.65202) Full Text: DOI arXiv
Anjam, I.; Valdman, J. Fast MATLAB assembly of FEM matrices in 2D and 3D: edge elements. (English) Zbl 1410.65441 Appl. Math. Comput. 267, 252-263 (2015). MSC: 65N30 65Y15 PDFBibTeX XMLCite \textit{I. Anjam} and \textit{J. Valdman}, Appl. Math. Comput. 267, 252--263 (2015; Zbl 1410.65441) Full Text: DOI arXiv
Carstensen, C.; Feischl, M.; Page, M.; Praetorius, D. Axioms of adaptivity. (English) Zbl 1350.65119 Comput. Math. Appl. 67, No. 6, 1195-1253 (2014). MSC: 65N30 65N38 65N15 65N50 65N12 35J25 35J60 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Comput. Math. Appl. 67, No. 6, 1195--1253 (2014; Zbl 1350.65119) Full Text: DOI arXiv
Papež, J.; Liesen, J.; Strakoš, Z. Distribution of the discretization and algebraic error in numerical solution of partial differential equations. (English) Zbl 1302.65113 Linear Algebra Appl. 449, 89-114 (2014). MSC: 65F35 65F10 65L10 65L70 65N15 65N30 65N22 65Y20 PDFBibTeX XMLCite \textit{J. Papež} et al., Linear Algebra Appl. 449, 89--114 (2014; Zbl 1302.65113) Full Text: DOI
Aurada, Markus; Melenk, Jens M.; Praetorius, Dirk Mixed conforming elements for the large-body limit in micromagnetics. (English) Zbl 1285.65076 Math. Models Methods Appl. Sci. 24, No. 1, 113-144 (2014). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 65N30 65K10 65N15 78M10 78M50 78A25 35Q60 PDFBibTeX XMLCite \textit{M. Aurada} et al., Math. Models Methods Appl. Sci. 24, No. 1, 113--144 (2014; Zbl 1285.65076) Full Text: DOI
Nguyen-Xuan, H.; Liu, G. R.; Bordas, S.; Natarajan, S.; Rabczuk, T. An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order. (English) Zbl 1297.74126 Comput. Methods Appl. Mech. Eng. 253, 252-273 (2013). MSC: 74S05 65N30 74A45 PDFBibTeX XMLCite \textit{H. Nguyen-Xuan} et al., Comput. Methods Appl. Mech. Eng. 253, 252--273 (2013; Zbl 1297.74126) Full Text: DOI
Cockburn, Bernardo; Zhang, Wujun A posteriori error estimates for HDG methods. (English) Zbl 1260.65099 J. Sci. Comput. 51, No. 3, 582-607 (2012). Reviewer: Weizhong Dai (Ruston) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{B. Cockburn} and \textit{W. Zhang}, J. Sci. Comput. 51, No. 3, 582--607 (2012; Zbl 1260.65099) Full Text: DOI
Funken, Stefan; Praetorius, Dirk; Wissgott, Philipp Efficient implementation of adaptive P1-FEM in Matlab. (English) Zbl 1284.65197 Comput. Methods Appl. Math. 11, No. 4, 460-490 (2011). MSC: 65Y15 65N30 65M60 PDFBibTeX XMLCite \textit{S. Funken} et al., Comput. Methods Appl. Math. 11, No. 4, 460--490 (2011; Zbl 1284.65197) Full Text: DOI
Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Tran, C. Adaptive analysis using the node-based smoothed finite element method (NS-FEM). (English) Zbl 1370.74144 Int. J. Numer. Methods Biomed. Eng. 27, No. 2, 198-218 (2011). MSC: 74S05 65N30 65N50 PDFBibTeX XMLCite \textit{T. Nguyen-Thoi} et al., Int. J. Numer. Methods Biomed. Eng. 27, No. 2, 198--218 (2011; Zbl 1370.74144) Full Text: DOI