Burman, Erik; Hansbo, Peter; Larson, Mats G. Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions. (English) Zbl 1525.65120 Math. Comput. 93, No. 345, 35-54 (2024). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N85 65N15 65N12 35J25 PDFBibTeX XMLCite \textit{E. Burman} et al., Math. Comput. 93, No. 345, 35--54 (2024; Zbl 1525.65120) Full Text: DOI arXiv
Chen, Long; Guo, Ruchi; Zou, Jun A family of immersed finite element spaces and applications to three-dimensional \(\mathbf{H}(\operatorname{curl})\) interface problems. (English) Zbl 07790223 SIAM J. Sci. Comput. 45, No. 6, A3121-A3149 (2023). MSC: 65N30 65N55 65F08 65F10 65N12 65N15 58A12 78A55 35Q61 PDFBibTeX XMLCite \textit{L. Chen} et al., SIAM J. Sci. Comput. 45, No. 6, A3121--A3149 (2023; Zbl 07790223) Full Text: DOI arXiv
Marussig, Benjamin; Hiemstra, René; Schillinger, Dominik Fast immersed boundary method based on weighted quadrature. (English) Zbl 07788106 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116397, 24 p. (2023). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{B. Marussig} et al., Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116397, 24 p. (2023; Zbl 07788106) Full Text: DOI arXiv
Collins, J. Haydel; Lozinski, Alexei; Scovazzi, Guglielmo A penalty-free shifted boundary method of arbitrary order. (English) Zbl 07788083 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116301, 21 p. (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{J. H. Collins} et al., Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116301, 21 p. (2023; Zbl 07788083) Full Text: DOI arXiv
Heimann, Fabian; Lehrenfeld, Christoph; Stocker, Paul; von Wahl, Henry Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems. (English) Zbl 07787597 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2803-2833 (2023). MSC: 65N30 65N85 41A30 PDFBibTeX XMLCite \textit{F. Heimann} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2803--2833 (2023; Zbl 07787597) Full Text: DOI arXiv
Boffi, Daniele; Cangiani, Andrea; Feder, Marco; Gastaldi, Lucia; Heltai, Luca A comparison of non-matching techniques for the finite element approximation of interface problems. (English) Zbl 07783928 Comput. Math. Appl. 151, 101-115 (2023). MSC: 65N30 65N15 74F10 65N85 35J25 PDFBibTeX XMLCite \textit{D. Boffi} et al., Comput. Math. Appl. 151, 101--115 (2023; Zbl 07783928) Full Text: DOI arXiv
Chu, Hanyu; Cai, Ying; Wang, Feng; Chen, Jinru A two-level additive Schwarz preconditioner for the Nitsche extended finite element approximation of elliptic interface problems. (English) Zbl 07741353 Comput. Math. Appl. 147, 111-120 (2023). MSC: 65N30 65N55 35J25 65N12 65F10 PDFBibTeX XMLCite \textit{H. Chu} et al., Comput. Math. Appl. 147, 111--120 (2023; Zbl 07741353) Full Text: DOI
Fries, Thomas-Peter; Kaiser, Michael Wolfgang On the simultaneous solution of structural membranes on all level sets within a bulk domain. (English) Zbl 07736336 Comput. Methods Appl. Mech. Eng. 415, Article ID 116223, 27 p. (2023). MSC: 74-XX 81-XX PDFBibTeX XMLCite \textit{T.-P. Fries} and \textit{M. W. Kaiser}, Comput. Methods Appl. Mech. Eng. 415, Article ID 116223, 27 p. (2023; Zbl 07736336) Full Text: DOI arXiv
Badia, Santiago; Dilip, Hridya; Verdugo, Francesc Space-time unfitted finite element methods for time-dependent problems on moving domains. (English) Zbl 07667335 Comput. Math. Appl. 135, 60-76 (2023). MSC: 65N30 74S05 76M10 65N55 65N50 PDFBibTeX XMLCite \textit{S. Badia} et al., Comput. Math. Appl. 135, 60--76 (2023; Zbl 07667335) Full Text: DOI arXiv
Burman, Erik; Hansbo, Peter; Larson, Mats G. CutFEM based on extended finite element spaces. (English) Zbl 1497.65221 Numer. Math. 152, No. 2, 331-369 (2022). MSC: 65N30 65N85 65N50 65N12 35B35 35B65 35B45 31A30 PDFBibTeX XMLCite \textit{E. Burman} et al., Numer. Math. 152, No. 2, 331--369 (2022; Zbl 1497.65221) Full Text: DOI arXiv
Nicoli, Sergio; Agathos, Konstantinos; Chatzi, Eleni Moment fitted cut spectral elements for explicit analysis of guided wave propagation. (English) Zbl 1507.74548 Comput. Methods Appl. Mech. Eng. 398, Article ID 115140, 30 p. (2022). MSC: 74S25 74J05 PDFBibTeX XMLCite \textit{S. Nicoli} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115140, 30 p. (2022; Zbl 1507.74548) Full Text: DOI arXiv
Aretaki, Aikaterini; Karatzas, Efthymios N.; Katsouleas, Georgios Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems. (English) Zbl 1497.65217 J. Sci. Comput. 91, No. 2, Paper No. 48, 35 p. (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N85 76D07 76M10 PDFBibTeX XMLCite \textit{A. Aretaki} et al., J. Sci. Comput. 91, No. 2, Paper No. 48, 35 p. (2022; Zbl 1497.65217) Full Text: DOI arXiv
Aretaki, Aikaterini; Karatzas, Efthymios N. Random geometries for optimal control PDE problems based on fictitious domain FEMs and cut elements. (English) Zbl 1493.65187 J. Comput. Appl. Math. 412, Article ID 114286, 19 p. (2022). MSC: 65N30 65C05 65N55 65F08 65F10 65F50 65N15 49M41 60H30 35R11 PDFBibTeX XMLCite \textit{A. Aretaki} and \textit{E. N. Karatzas}, J. Comput. Appl. Math. 412, Article ID 114286, 19 p. (2022; Zbl 1493.65187) Full Text: DOI arXiv
Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo The high-order shifted boundary method and its analysis. (English) Zbl 1507.65230 Comput. Methods Appl. Mech. Eng. 394, Article ID 114885, 30 p. (2022). MSC: 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{N. M. Atallah} et al., Comput. Methods Appl. Mech. Eng. 394, Article ID 114885, 30 p. (2022; Zbl 1507.65230) Full Text: DOI
Viguerie, Alex; Bertoluzza, Silvia; Veneziani, Alessandro; Auricchio, Ferdinando A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media. (English) Zbl 1491.65152 Appl. Numer. Math. 173, 94-111 (2022). Reviewer: Wei Gong (Beijing) MSC: 65N30 65N55 65N25 65N12 65F10 PDFBibTeX XMLCite \textit{A. Viguerie} et al., Appl. Numer. Math. 173, 94--111 (2022; Zbl 1491.65152) Full Text: DOI arXiv
Chen, Zhiming; Li, Ke; Xiang, Xueshuang An adaptive high-order unfitted finite element method for elliptic interface problems. (English) Zbl 1480.65330 Numer. Math. 149, No. 3, 507-548 (2021). MSC: 65N30 65N50 65N15 65N85 35J15 PDFBibTeX XMLCite \textit{Z. Chen} et al., Numer. Math. 149, No. 3, 507--548 (2021; Zbl 1480.65330) Full Text: DOI arXiv
Jomo, J.; Oztoprak, O.; de Prenter, F.; Zander, N.; Kollmannsberger, S.; Rank, E. Hierarchical multigrid approaches for the finite cell method on uniform and multi-level \(h p\)-refined grids. (English) Zbl 1507.65277 Comput. Methods Appl. Mech. Eng. 386, Article ID 114075, 27 p. (2021). MSC: 65N55 PDFBibTeX XMLCite \textit{J. Jomo} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114075, 27 p. (2021; Zbl 1507.65277) Full Text: DOI arXiv
Engwer, Christian; Westerheide, Sebastian An unfitted dG scheme for coupled bulk-surface PDEs on complex geometries. (English) Zbl 1523.65082 Comput. Methods Appl. Math. 21, No. 3, 569-591 (2021). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 65M85 65M12 65M15 35B36 35K57 92C05 35Q92 35R01 PDFBibTeX XMLCite \textit{C. Engwer} and \textit{S. Westerheide}, Comput. Methods Appl. Math. 21, No. 3, 569--591 (2021; Zbl 1523.65082) Full Text: DOI
Scholz, Felix; Jüttler, Bert Using high-order transport theorems for implicitly defined moving curves to perform quadrature on planar domains. (English) Zbl 1477.65243 SIAM J. Numer. Anal. 59, No. 4, 2138-2162 (2021). MSC: 65N30 65N85 53A04 65D30 35R37 PDFBibTeX XMLCite \textit{F. Scholz} and \textit{B. Jüttler}, SIAM J. Numer. Anal. 59, No. 4, 2138--2162 (2021; Zbl 1477.65243) Full Text: DOI
Badia, Santiago; Martín, Alberto F.; Neiva, Eric; Verdugo, Francesc The aggregated unfitted finite element method on parallel tree-based adaptive meshes. (English) Zbl 1472.65141 SIAM J. Sci. Comput. 43, No. 3, C203-C234 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N55 65N50 65Y05 65Y20 PDFBibTeX XMLCite \textit{S. Badia} et al., SIAM J. Sci. Comput. 43, No. 3, C203--C234 (2021; Zbl 1472.65141) Full Text: DOI arXiv
Burman, Erik; Cicuttin, Matteo; Delay, Guillaume; Ern, Alexandre An unfitted hybrid high-order method with cell agglomeration for elliptic interface problems. (English) Zbl 1475.65186 SIAM J. Sci. Comput. 43, No. 2, A859-A882 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N15 65N12 65N85 35J05 PDFBibTeX XMLCite \textit{E. Burman} et al., SIAM J. Sci. Comput. 43, No. 2, A859--A882 (2021; Zbl 1475.65186) Full Text: DOI
Bastian, Peter; Blatt, Markus; Dedner, Andreas; Dreier, Nils-Arne; Engwer, Christian; Fritze, René; Gräser, Carsten; Grüninger, Christoph; Kempf, Dominic; Klöfkorn, Robert; Ohlberger, Mario; Sander, Oliver The Dune framework: basic concepts and recent developments. (English) Zbl 1524.65003 Comput. Math. Appl. 81, 75-112 (2021). MSC: 65-04 65N30 65N55 65M60 65N15 65N50 35R37 PDFBibTeX XMLCite \textit{P. Bastian} et al., Comput. Math. Appl. 81, 75--112 (2021; Zbl 1524.65003) Full Text: DOI arXiv
De Prenter, F.; Verhoosel, C. V.; van Brummelen, E. H.; Evans, J. A.; Messe, C.; Benzaken, J.; Maute, K. Multigrid solvers for immersed finite element methods and immersed isogeometric analysis. (English) Zbl 1477.74106 Comput. Mech. 65, No. 3, 807-838 (2020). MSC: 74S05 74S22 65F10 PDFBibTeX XMLCite \textit{F. De Prenter} et al., Comput. Mech. 65, No. 3, 807--838 (2020; Zbl 1477.74106) Full Text: DOI arXiv
Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo The second-generation shifted boundary method and its numerical analysis. (English) Zbl 1506.76063 Comput. Methods Appl. Mech. Eng. 372, Article ID 113341, 27 p. (2020). MSC: 76M10 65N30 PDFBibTeX XMLCite \textit{N. M. Atallah} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113341, 27 p. (2020; Zbl 1506.76063) Full Text: DOI arXiv
Gürkan, Ceren; Sticko, Simon; Massing, André Stabilized cut discontinuous Galerkin methods for advection-reaction problems. (English) Zbl 1451.65191 SIAM J. Sci. Comput. 42, No. 5, A2620-A2654 (2020). MSC: 65N30 65N12 65N15 65N85 PDFBibTeX XMLCite \textit{C. Gürkan} et al., SIAM J. Sci. Comput. 42, No. 5, A2620--A2654 (2020; Zbl 1451.65191) Full Text: DOI arXiv
Buffa, A.; Puppi, R.; Vázquez, R. A minimal stabilization procedure for isogeometric methods on trimmed geometries. (English) Zbl 1453.65403 SIAM J. Numer. Anal. 58, No. 5, 2711-2735 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N12 65N15 65N85 PDFBibTeX XMLCite \textit{A. Buffa} et al., SIAM J. Numer. Anal. 58, No. 5, 2711--2735 (2020; Zbl 1453.65403) Full Text: DOI arXiv
Chen, Yuan; Hou, Songming; Zhang, Xu A bilinear partially penalized immersed finite element method for elliptic interface problems with multi-domain and triple-junction points. (English) Zbl 1467.65108 Results Appl. Math. 8, Article ID 100100, 12 p. (2020). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 PDFBibTeX XMLCite \textit{Y. Chen} et al., Results Appl. Math. 8, Article ID 100100, 12 p. (2020; Zbl 1467.65108) Full Text: DOI arXiv
Fries, T. P.; Schöllhammer, D. A unified finite strain theory for membranes and ropes. (English) Zbl 1442.74112 Comput. Methods Appl. Mech. Eng. 365, Article ID 113031, 26 p. (2020). MSC: 74K15 74S05 53Z30 74K05 PDFBibTeX XMLCite \textit{T. P. Fries} and \textit{D. Schöllhammer}, Comput. Methods Appl. Mech. Eng. 365, Article ID 113031, 26 p. (2020; Zbl 1442.74112) Full Text: DOI arXiv
Oyarzúa, Ricardo; Solano, Manuel; Zúñiga, Paulo A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow. (English) Zbl 1441.76070 Comput. Methods Appl. Mech. Eng. 360, Article ID 112780, 40 p. (2020). MSC: 76M10 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{R. Oyarzúa} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112780, 40 p. (2020; Zbl 1441.76070) Full Text: DOI
Lu, Kaizhou; Coombs, William M.; Augarde, Charles E.; Hu, Zhendong An implicit boundary finite element method with extension to frictional sliding boundary conditions and elasto-plastic analyses. (English) Zbl 1441.74261 Comput. Methods Appl. Mech. Eng. 358, Article ID 112620, 30 p. (2020). MSC: 74S05 65N30 74C05 74M10 PDFBibTeX XMLCite \textit{K. Lu} et al., Comput. Methods Appl. Mech. Eng. 358, Article ID 112620, 30 p. (2020; Zbl 1441.74261) Full Text: DOI Link
Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo Analysis of the shifted boundary method for the Stokes problem. (English) Zbl 1441.76037 Comput. Methods Appl. Mech. Eng. 358, Article ID 112609, 33 p. (2020). MSC: 76D07 65N30 76M10 PDFBibTeX XMLCite \textit{N. M. Atallah} et al., Comput. Methods Appl. Mech. Eng. 358, Article ID 112609, 33 p. (2020; Zbl 1441.76037) Full Text: DOI
Duprez, Michel; Lozinski, Alexei \(\phi\)-FEM: a finite element method on domains defined by level-sets. (English) Zbl 1435.65199 SIAM J. Numer. Anal. 58, No. 2, 1008-1028 (2020). MSC: 65N30 65N85 65N15 65N12 65F35 PDFBibTeX XMLCite \textit{M. Duprez} and \textit{A. Lozinski}, SIAM J. Numer. Anal. 58, No. 2, 1008--1028 (2020; Zbl 1435.65199) Full Text: DOI arXiv
Ludescher, Thomas; Gross, Sven; Reusken, Arnold A multigrid method for unfitted finite element discretizations of elliptic interface problems. (English) Zbl 1447.65156 SIAM J. Sci. Comput. 42, No. 1, A318-A342 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65F10 65N22 65N55 PDFBibTeX XMLCite \textit{T. Ludescher} et al., SIAM J. Sci. Comput. 42, No. 1, A318--A342 (2020; Zbl 1447.65156) Full Text: DOI arXiv
Elfverson, Daniel; Larson, Mats G.; Larsson, Karl A new least squares stabilized Nitsche method for cut isogeometric analysis. (English) Zbl 1441.65099 Comput. Methods Appl. Mech. Eng. 349, 1-16 (2019). MSC: 65N30 65D07 PDFBibTeX XMLCite \textit{D. Elfverson} et al., Comput. Methods Appl. Mech. Eng. 349, 1--16 (2019; Zbl 1441.65099) Full Text: DOI arXiv
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl Cut topology optimization for linear elasticity with coupling to parametric nondesign domain regions. (English) Zbl 1441.74152 Comput. Methods Appl. Mech. Eng. 350, 462-479 (2019). MSC: 74P15 74B05 PDFBibTeX XMLCite \textit{E. Burman} et al., Comput. Methods Appl. Mech. Eng. 350, 462--479 (2019; Zbl 1441.74152) Full Text: DOI arXiv
de Prenter, F.; Verhoosel, C. V.; van Brummelen, E. H. Preconditioning immersed isogeometric finite element methods with application to flow problems. (English) Zbl 1440.65197 Comput. Methods Appl. Mech. Eng. 348, 604-631 (2019). MSC: 65N30 65D07 65N22 76M10 PDFBibTeX XMLCite \textit{F. de Prenter} et al., Comput. Methods Appl. Mech. Eng. 348, 604--631 (2019; Zbl 1440.65197) Full Text: DOI arXiv
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl Hybridized CutFEM for elliptic interface problems. (English) Zbl 1435.65193 SIAM J. Sci. Comput. 41, No. 5, A3354-A3380 (2019). Reviewer: Jichun Li (Las Vegas) MSC: 65N30 65N55 65N85 65N15 65F35 PDFBibTeX XMLCite \textit{E. Burman} et al., SIAM J. Sci. Comput. 41, No. 5, A3354--A3380 (2019; Zbl 1435.65193) Full Text: DOI arXiv
Sticko, Simon; Kreiss, Gunilla Higher order cut finite elements for the wave equation. (English) Zbl 1428.65046 J. Sci. Comput. 80, No. 3, 1867-1887 (2019). MSC: 65M60 65M85 65F35 35J25 PDFBibTeX XMLCite \textit{S. Sticko} and \textit{G. Kreiss}, J. Sci. Comput. 80, No. 3, 1867--1887 (2019; Zbl 1428.65046) Full Text: DOI arXiv
Albella, Jorge; Ben Dhia, Hachmi; Imperiale, Sebastien; Rodríguez, Jeronimo Mathematical and numerical study of transient wave scattering by obstacles with a new class of Arlequin coupling. (English) Zbl 1428.65024 SIAM J. Numer. Anal. 57, No. 5, 2436-2468 (2019). MSC: 65M12 65N55 65N30 35L05 PDFBibTeX XMLCite \textit{J. Albella} et al., SIAM J. Numer. Anal. 57, No. 5, 2436--2468 (2019; Zbl 1428.65024) Full Text: DOI
Dokken, Jørgen S.; Funke, Simon W.; Johansson, August; Schmidt, Stephan Shape optimization using the finite element method on multiple meshes with Nitsche coupling. (English) Zbl 1432.35211 SIAM J. Sci. Comput. 41, No. 3, A1923-A1948 (2019). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q93 49Q10 65M85 65N30 68N99 76B75 PDFBibTeX XMLCite \textit{J. S. Dokken} et al., SIAM J. Sci. Comput. 41, No. 3, A1923--A1948 (2019; Zbl 1432.35211) Full Text: DOI
Lehrenfeld, Christoph; Olshanskii, Maxim An Eulerian finite element method for PDEs in time-dependent domains. (English) Zbl 1422.65223 ESAIM, Math. Model. Numer. Anal. 53, No. 2, 585-614 (2019). MSC: 65M12 65M60 65M85 65M06 65M15 PDFBibTeX XMLCite \textit{C. Lehrenfeld} and \textit{M. Olshanskii}, ESAIM, Math. Model. Numer. Anal. 53, No. 2, 585--614 (2019; Zbl 1422.65223) Full Text: DOI arXiv
Zhuang, Qiao; Guo, Ruchi High degree discontinuous Petrov-Galerkin immersed finite element methods using fictitious elements for elliptic interface problems. (English) Zbl 1422.65424 J. Comput. Appl. Math. 362, 560-573 (2019). MSC: 65N30 65N85 65N20 65N12 35J15 PDFBibTeX XMLCite \textit{Q. Zhuang} and \textit{R. Guo}, J. Comput. Appl. Math. 362, 560--573 (2019; Zbl 1422.65424) Full Text: DOI
Bernland, Anders; Wadbro, Eddie; Berggren, Martin Shape optimization of a compression driver phase plug. (English) Zbl 1416.65434 SIAM J. Sci. Comput. 41, No. 1, B181-B204 (2019). MSC: 65N30 65K10 35J05 65N85 PDFBibTeX XMLCite \textit{A. Bernland} et al., SIAM J. Sci. Comput. 41, No. 1, B181--B204 (2019; Zbl 1416.65434) Full Text: DOI
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Larsson, Karl; Massing, André Finite element approximation of the Laplace-Beltrami operator on a surface with boundary. (English) Zbl 1407.65180 Numer. Math. 141, No. 1, 141-172 (2019). MSC: 65M60 65M85 65M15 PDFBibTeX XMLCite \textit{E. Burman} et al., Numer. Math. 141, No. 1, 141--172 (2019; Zbl 1407.65180) Full Text: DOI arXiv
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Zahedi, Sara Stabilized CutFEM for the convection problem on surfaces. (English) Zbl 1407.65283 Numer. Math. 141, No. 1, 103-139 (2019). MSC: 65N30 65N85 65N12 65F35 PDFBibTeX XMLCite \textit{E. Burman} et al., Numer. Math. 141, No. 1, 103--139 (2019; Zbl 1407.65283) Full Text: DOI arXiv Link
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl Shape optimization using the cut finite element method. (English) Zbl 1439.74316 Comput. Methods Appl. Mech. Eng. 328, 242-261 (2018). MSC: 74P20 49Q12 65N30 PDFBibTeX XMLCite \textit{E. Burman} et al., Comput. Methods Appl. Mech. Eng. 328, 242--261 (2018; Zbl 1439.74316) Full Text: DOI arXiv
Fries, T. P. Higher-order conformal decomposition FEM (CDFEM). (English) Zbl 1439.65164 Comput. Methods Appl. Mech. Eng. 328, 75-98 (2018). MSC: 65N30 65D17 PDFBibTeX XMLCite \textit{T. P. Fries}, Comput. Methods Appl. Mech. Eng. 328, 75--98 (2018; Zbl 1439.65164) Full Text: DOI arXiv
Ludvigsson, Gustav; Steffen, Kyle R.; Sticko, Simon; Wang, Siyang; Xia, Qing; Epshteyn, Yekaterina; Kreiss, Gunilla High-order numerical methods for 2D parabolic problems in single and composite domains. (English) Zbl 1395.65024 J. Sci. Comput. 76, No. 2, 812-847 (2018). MSC: 65M06 65M12 65M22 65M55 65M60 65M70 35K20 PDFBibTeX XMLCite \textit{G. Ludvigsson} et al., J. Sci. Comput. 76, No. 2, 812--847 (2018; Zbl 1395.65024) Full Text: DOI arXiv
Badia, Santiago; Verdugo, Francesc Robust and scalable domain decomposition solvers for unfitted finite element methods. (English) Zbl 1462.65216 J. Comput. Appl. Math. 344, 740-759 (2018). MSC: 65N55 65N30 65F08 65N20 65Y05 PDFBibTeX XMLCite \textit{S. Badia} and \textit{F. Verdugo}, J. Comput. Appl. Math. 344, 740--759 (2018; Zbl 1462.65216) Full Text: DOI arXiv
Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats Fictitious domain method with boundary value correction using penalty-free Nitsche method. (English) Zbl 1395.65149 J. Numer. Math. 26, No. 2, 77-95 (2018). MSC: 65N85 65N12 65N30 65N50 65N15 PDFBibTeX XMLCite \textit{T. Boiveau} et al., J. Numer. Math. 26, No. 2, 77--95 (2018; Zbl 1395.65149) Full Text: DOI arXiv
Guzmán, Johnny; Olshanskii, Maxim Inf-sup stability of geometrically unfitted Stokes finite elements. (English) Zbl 1391.76121 Math. Comput. 87, No. 313, 2091-2112 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 76D07 65N12 65N30 65N85 PDFBibTeX XMLCite \textit{J. Guzmán} and \textit{M. Olshanskii}, Math. Comput. 87, No. 313, 2091--2112 (2018; Zbl 1391.76121) Full Text: DOI arXiv
Burman, Erik; Hansbo, Peter; Larson, Mats G. A cut finite element method with boundary value correction. (English) Zbl 1380.65362 Math. Comput. 87, No. 310, 633-657 (2018). MSC: 65N30 65N85 35J25 65N12 65N15 PDFBibTeX XMLCite \textit{E. Burman} et al., Math. Comput. 87, No. 310, 633--657 (2018; Zbl 1380.65362) Full Text: DOI arXiv
Jonsson, Tobias; Larson, Mats G.; Larsson, Karl Cut finite element methods for elliptic problems on multipatch parametric surfaces. (English) Zbl 1439.65176 Comput. Methods Appl. Mech. Eng. 324, 366-394 (2017). MSC: 65N30 65N85 PDFBibTeX XMLCite \textit{T. Jonsson} et al., Comput. Methods Appl. Mech. Eng. 324, 366--394 (2017; Zbl 1439.65176) Full Text: DOI arXiv
Burman, Erik; Elfverson, Daniel; Hansbo, Peter; Larson, Mats G.; Larsson, Karl A cut finite element method for the Bernoulli free boundary value problem. (English) Zbl 1439.65150 Comput. Methods Appl. Mech. Eng. 317, 598-618 (2017). MSC: 65N30 35J25 35R35 PDFBibTeX XMLCite \textit{E. Burman} et al., Comput. Methods Appl. Mech. Eng. 317, 598--618 (2017; Zbl 1439.65150) Full Text: DOI arXiv
de Prenter, F.; Verhoosel, C. V.; van Zwieten, G. J.; van Brummelen, E. H. Condition number analysis and preconditioning of the finite cell method. (English) Zbl 1439.65137 Comput. Methods Appl. Mech. Eng. 316, 297-327 (2017). MSC: 65N22 65D07 PDFBibTeX XMLCite \textit{F. de Prenter} et al., Comput. Methods Appl. Mech. Eng. 316, 297--327 (2017; Zbl 1439.65137) Full Text: DOI arXiv
Fries, T. P.; Omerović, S.; Schöllhammer, D.; Steidl, J. Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements. (English) Zbl 1439.65212 Comput. Methods Appl. Mech. Eng. 313, 759-784 (2017). MSC: 65N50 PDFBibTeX XMLCite \textit{T. P. Fries} et al., Comput. Methods Appl. Mech. Eng. 313, 759--784 (2017; Zbl 1439.65212) Full Text: DOI arXiv
Fries, Thomas-Peter; Omerović, Samir Higher-order accurate integration of implicit geometries. (English) Zbl 1352.65498 Int. J. Numer. Methods Eng. 106, No. 5, 323-371 (2016). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{T.-P. Fries} and \textit{S. Omerović}, Int. J. Numer. Methods Eng. 106, No. 5, 323--371 (2016; Zbl 1352.65498) Full Text: DOI
Burman, Erik; Claus, Susanne; Massing, André A stabilized cut finite element method for the three field Stokes problem. (English) Zbl 1326.76057 SIAM J. Sci. Comput. 37, No. 4, A1705-A1726 (2015). MSC: 76M10 65N12 65N15 65N30 76D07 PDFBibTeX XMLCite \textit{E. Burman} et al., SIAM J. Sci. Comput. 37, No. 4, A1705--A1726 (2015; Zbl 1326.76057) Full Text: DOI arXiv
Burman, Erik; Fernández, Miguel A. An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes. (English) Zbl 1423.74867 Comput. Methods Appl. Mech. Eng. 279, 497-514 (2014). MSC: 74S05 76M10 65M60 65M85 74F10 76G25 PDFBibTeX XMLCite \textit{E. Burman} and \textit{M. A. Fernández}, Comput. Methods Appl. Mech. Eng. 279, 497--514 (2014; Zbl 1423.74867) Full Text: DOI