Ahmad, Haroon; Gürkan, Ceren eXtended hybridizable discontinuous Galerkin (X-HDG) method for linear convection-diffusion equations on unfitted domains. (English) Zbl 07797645 J. Comput. Phys. 498, Article ID 112666, 18 p. (2024). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{H. Ahmad} and \textit{C. Gürkan}, J. Comput. Phys. 498, Article ID 112666, 18 p. (2024; Zbl 07797645) Full Text: DOI arXiv
Zhu, Xingwen; Hu, Xiaozhe; Sun, Pengtao Physics-informed neural networks for solving dynamic two-phase interface problems. (English) Zbl 1528.35105 SIAM J. Sci. Comput. 45, No. 6, A2912-A2944 (2023). MSC: 35Q30 65N99 65M06 65K10 65M15 68T07 68Q32 74F10 76D05 76T06 82C32 PDFBibTeX XMLCite \textit{X. Zhu} et al., SIAM J. Sci. Comput. 45, No. 6, A2912--A2944 (2023; Zbl 1528.35105) Full Text: DOI arXiv
Yi, Huaming; Chen, Yanping; Wang, Yang; Huang, Yunqing A two-grid immersed finite element method with the Crank-Nicolson time scheme for semilinear parabolic interface problems. (English) Zbl 07705787 Appl. Numer. Math. 189, 1-22 (2023). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{H. Yi} et al., Appl. Numer. Math. 189, 1--22 (2023; Zbl 07705787) Full Text: DOI
Ma, Chuwen; Tian, Tian; Zheng, Weiying High-order unfitted characteristic finite element methods for moving interface problem of Oseen equations. (English) Zbl 1514.65133 J. Comput. Appl. Math. 425, Article ID 115028, 29 p. (2023). MSC: 65M60 65L07 76D05 PDFBibTeX XMLCite \textit{C. Ma} et al., J. Comput. Appl. Math. 425, Article ID 115028, 29 p. (2023; Zbl 1514.65133) Full Text: DOI
Heimann, Fabian; Lehrenfeld, Christoph; Preuß, Janosch Geometrically higher order unfitted space-time methods for PDEs on moving domains. (English) Zbl 1512.65210 SIAM J. Sci. Comput. 45, No. 2, B139-B165 (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M70 65M06 65M12 65D30 65D05 35R37 PDFBibTeX XMLCite \textit{F. Heimann} et al., SIAM J. Sci. Comput. 45, No. 2, B139--B165 (2023; Zbl 1512.65210) Full Text: DOI arXiv
Kou, Jiaqing; Ferrer, Esteban A combined volume penalization/selective frequency damping approach for immersed boundary methods applied to high-order schemes. (English) Zbl 07620362 J. Comput. Phys. 472, Article ID 111678, 25 p. (2023). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{J. Kou} and \textit{E. Ferrer}, J. Comput. Phys. 472, Article ID 111678, 25 p. (2023; Zbl 07620362) Full Text: DOI arXiv
Di Stolfo, Paolo; Schröder, Andreas Error control and adaptivity for the finite cell method. (English) Zbl 1513.74158 Schröder, Jörg (ed.) et al., Non-standard discretisation methods in solid mechanics. Cham: Springer. Lect. Notes Appl. Comput. Mech. 98, 377-403 (2022). MSC: 74S99 65M50 PDFBibTeX XMLCite \textit{P. Di Stolfo} and \textit{A. Schröder}, Lect. Notes Appl. Comput. Mech. 98, 377--403 (2022; Zbl 1513.74158) Full Text: DOI
Garhuom, Wadhah; Hubrich, Simeon; Radtke, Lars; Düster, Alexander Adaptive quadrature and remeshing strategies for the finite cell method at large deformations. (English) Zbl 1513.74159 Schröder, Jörg (ed.) et al., Non-standard discretisation methods in solid mechanics. Cham: Springer. Lect. Notes Appl. Comput. Mech. 98, 327-353 (2022). MSC: 74S99 65M50 PDFBibTeX XMLCite \textit{W. Garhuom} et al., Lect. Notes Appl. Comput. Mech. 98, 327--353 (2022; Zbl 1513.74159) Full Text: DOI
Badia, Santiago; Neiva, Eric; Verdugo, Francesc Robust high-order unfitted finite elements by interpolation-based discrete extension. (English) Zbl 1524.65749 Comput. Math. Appl. 127, 105-126 (2022). MSC: 65N30 65N12 65N15 76M10 74S05 74B10 PDFBibTeX XMLCite \textit{S. Badia} et al., Comput. Math. Appl. 127, 105--126 (2022; Zbl 1524.65749) Full Text: DOI arXiv
Arndt, Daniel; Bangerth, Wolfgang; Feder, Marco; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Sticko, Simon; Turcksin, Bruno; Wells, David The deal.II library, version 9.4. (English) Zbl 07590497 J. Numer. Math. 30, No. 3, 231-246 (2022). MSC: 65-XX 65M60 65N30 65Y05 PDFBibTeX XMLCite \textit{D. Arndt} et al., J. Numer. Math. 30, No. 3, 231--246 (2022; Zbl 07590497) Full Text: DOI
Xie, Zhihua An implicit Cartesian cut-cell method for incompressible viscous flows with complex geometries. (English) Zbl 1507.76142 Comput. Methods Appl. Mech. Eng. 399, Article ID 115449, 24 p. (2022). MSC: 76M12 65M08 PDFBibTeX XMLCite \textit{Z. Xie}, Comput. Methods Appl. Mech. Eng. 399, Article ID 115449, 24 p. (2022; Zbl 1507.76142) Full Text: DOI
Termuhlen, Robert; Fitzmaurice, Kieran; Yu, Hui-Chia Smoothed boundary method for simulating incompressible flow in complex geometries. (English) Zbl 1507.76147 Comput. Methods Appl. Mech. Eng. 399, Article ID 115312, 28 p. (2022). MSC: 76M20 65M06 76S05 PDFBibTeX XMLCite \textit{R. Termuhlen} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115312, 28 p. (2022; Zbl 1507.76147) Full Text: DOI
Manríquez, Jaime; Nguyen, Ngoc-Cuong; Solano, Manuel A dissimilar non-matching HDG discretization for Stokes flows. (English) Zbl 1507.76116 Comput. Methods Appl. Mech. Eng. 399, Article ID 115292, 30 p. (2022). MSC: 76M10 65M50 65M60 76D07 PDFBibTeX XMLCite \textit{J. Manríquez} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115292, 30 p. (2022; Zbl 1507.76116) Full Text: DOI
Karatzas, Efthymios N.; Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems. (English) Zbl 1524.76215 Comput. Math. Appl. 116, 140-160 (2022). MSC: 76M10 65N30 76D05 65M60 65M15 PDFBibTeX XMLCite \textit{E. N. Karatzas} et al., Comput. Math. Appl. 116, 140--160 (2022; Zbl 1524.76215) Full Text: DOI arXiv
Zhang, Xiaodi High order interface-penalty finite element methods for elasticity interface problems in 3D. (English) Zbl 1524.65880 Comput. Math. Appl. 114, 161-170 (2022). MSC: 65N30 74S05 65N15 65N12 35J25 74B10 35Q74 PDFBibTeX XMLCite \textit{X. Zhang}, Comput. Math. Appl. 114, 161--170 (2022; Zbl 1524.65880) Full Text: DOI
Burman, Erik; Hansbo, Peter; Larson, Mats G. Explicit time stepping for the wave equation using CutFEM with discrete extension. (English) Zbl 1493.65146 SIAM J. Sci. Comput. 44, No. 3, A1254-A1289 (2022). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65M06 65N30 65M12 65M15 PDFBibTeX XMLCite \textit{E. Burman} et al., SIAM J. Sci. Comput. 44, No. 3, A1254--A1289 (2022; Zbl 1493.65146) Full Text: DOI arXiv
Gulizzi, Vincenzo; Saye, Robert Modeling wave propagation in elastic solids via high-order accurate implicit-mesh discontinuous Galerkin methods. (English) Zbl 1507.74474 Comput. Methods Appl. Mech. Eng. 395, Article ID 114971, 32 p. (2022). MSC: 74S05 65N30 65M60 74B05 PDFBibTeX XMLCite \textit{V. Gulizzi} and \textit{R. Saye}, Comput. Methods Appl. Mech. Eng. 395, Article ID 114971, 32 p. (2022; Zbl 1507.74474) Full Text: DOI arXiv
Barbeau, Lucka; Étienne, Stéphane; Béguin, Cédric; Blais, Bruno Development of a high-order continuous Galerkin sharp-interface immersed boundary method and its application to incompressible flow problems. (English) Zbl 1521.76316 Comput. Fluids 239, Article ID 105415, 13 p. (2022). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{L. Barbeau} et al., Comput. Fluids 239, Article ID 105415, 13 p. (2022; Zbl 1521.76316) Full Text: DOI
Kuzmin, Dmitri; Bäcker, Jan-Phillip An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces. (English) Zbl 07525184 J. Comput. Phys. 461, Article ID 111218, 16 p. (2022). MSC: 65Nxx 76Mxx 65Mxx PDFBibTeX XMLCite \textit{D. Kuzmin} and \textit{J.-P. Bäcker}, J. Comput. Phys. 461, Article ID 111218, 16 p. (2022; Zbl 07525184) Full Text: DOI arXiv
King, J. R. C.; Lind, S. J. High-order simulations of isothermal flows using the local anisotropic basis function method (LABFM). (English) Zbl 07524765 J. Comput. Phys. 449, Article ID 110760, 27 p. (2022). MSC: 76Mxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{J. R. C. King} and \textit{S. J. Lind}, J. Comput. Phys. 449, Article ID 110760, 27 p. (2022; Zbl 07524765) Full Text: DOI arXiv
Burman, Erik; Frei, Stefan; Massing, Andre Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains. (English) Zbl 07493698 Numer. Math. 150, No. 2, 423-478 (2022). MSC: 65Mxx PDFBibTeX XMLCite \textit{E. Burman} et al., Numer. Math. 150, No. 2, 423--478 (2022; Zbl 07493698) Full Text: DOI arXiv
Burman, Erik; Duran, Omar; Ern, Alexandre Unfitted hybrid high-order methods for the wave equation. (English) Zbl 1507.65202 Comput. Methods Appl. Mech. Eng. 389, Article ID 114366, 23 p. (2022). MSC: 65M99 35L05 PDFBibTeX XMLCite \textit{E. Burman} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114366, 23 p. (2022; Zbl 1507.65202) Full Text: DOI HAL
Tominec, Igor; Breznik, Eva An unfitted RBF-FD method in a least-squares setting for elliptic PDEs on complex geometries. (English) Zbl 07513847 J. Comput. Phys. 436, Article ID 110283, 24 p. (2021). MSC: 65Nxx 65Mxx 65Dxx PDFBibTeX XMLCite \textit{I. Tominec} and \textit{E. Breznik}, J. Comput. Phys. 436, Article ID 110283, 24 p. (2021; Zbl 07513847) Full Text: DOI arXiv
Guo, Ruchi; Zhang, Xu Solving three-dimensional interface problems with immersed finite elements: a-priori error analysis. (English) Zbl 07513824 J. Comput. Phys. 441, Article ID 110445, 23 p. (2021). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{R. Guo} and \textit{X. Zhang}, J. Comput. Phys. 441, Article ID 110445, 23 p. (2021; Zbl 07513824) Full Text: DOI arXiv
Shauer, Nathan; Desmond, Kenneth W.; Gordon, Peter A.; Liu, Fushen; Duarte, C. Armando A three-dimensional generalized finite element method for the simulation of wave propagation in fluid-filled fractures. (English) Zbl 1507.76206 Comput. Methods Appl. Mech. Eng. 386, Article ID 114136, 39 p. (2021). MSC: 76S05 65M06 76M10 PDFBibTeX XMLCite \textit{N. Shauer} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114136, 39 p. (2021; Zbl 1507.76206) Full Text: DOI
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
Zhu, Lixing; Masud, Arif Variationally derived interface stabilization for discrete multiphase flows and relation with the ghost-penalty method. (English) Zbl 1506.76140 Comput. Methods Appl. Mech. Eng. 373, Article ID 113404, 32 p. (2021). MSC: 76M30 76Txx 65M60 76M10 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{A. Masud}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113404, 32 p. (2021; Zbl 1506.76140) Full Text: DOI
Olshanskii, Maxim; Xu, Xianmin; Yushutin, Vladimir A finite element method for Allen-Cahn equation on deforming surface. (English) Zbl 1524.65580 Comput. Math. Appl. 90, 148-158 (2021). MSC: 65M60 65N30 65M12 65M15 76M10 35R05 65M06 76M20 35Q35 35Q86 PDFBibTeX XMLCite \textit{M. Olshanskii} et al., Comput. Math. Appl. 90, 148--158 (2021; Zbl 1524.65580) Full Text: DOI arXiv
Guo, Ruchi Solving parabolic moving interface problems with dynamical immersed spaces on unfitted meshes: fully discrete analysis. (English) Zbl 1466.65134 SIAM J. Numer. Anal. 59, No. 2, 797-828 (2021). MSC: 65M60 65M06 65N30 65N15 35R05 PDFBibTeX XMLCite \textit{R. Guo}, SIAM J. Numer. Anal. 59, No. 2, 797--828 (2021; Zbl 1466.65134) Full Text: DOI arXiv
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
Zorrilla, R.; Rossi, R.; Wüchner, R.; Oñate, E. An embedded finite element framework for the resolution of strongly coupled fluid-structure interaction problems. Application to volumetric and membrane-like structures. (English) Zbl 1506.74462 Comput. Methods Appl. Mech. Eng. 368, Article ID 113179, 45 p. (2020). MSC: 74S05 65M60 74F10 76D05 PDFBibTeX XMLCite \textit{R. Zorrilla} et al., Comput. Methods Appl. Mech. Eng. 368, Article ID 113179, 45 p. (2020; Zbl 1506.74462) Full Text: DOI
Dokken, Jørgen S.; Johansson, August; Massing, André; Funke, Simon W. A multimesh finite element method for the Navier-Stokes equations based on projection methods. (English) Zbl 1506.76071 Comput. Methods Appl. Mech. Eng. 368, Article ID 113129, 25 p. (2020). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{J. S. Dokken} et al., Comput. Methods Appl. Mech. Eng. 368, Article ID 113129, 25 p. (2020; Zbl 1506.76071) Full Text: DOI arXiv
Engwer, Christian; May, Sandra; Nüßing, Andreas; Streitbürger, Florian A stabilized DG cut cell method for discretizing the linear transport equation. (English) Zbl 1469.65147 SIAM J. Sci. Comput. 42, No. 6, A3677-A3703 (2020). Reviewer: Song Jiang (Beijing) MSC: 65M60 65M12 65M20 35L02 35L65 PDFBibTeX XMLCite \textit{C. Engwer} et al., SIAM J. Sci. Comput. 42, No. 6, A3677--A3703 (2020; Zbl 1469.65147) Full Text: DOI arXiv
Croci, Matteo; Farrell, Patrick E. Complexity bounds on supermesh construction for quasi-uniform meshes. (English) Zbl 1440.65015 J. Comput. Phys. 414, Article ID 109459, 6 p. (2020). MSC: 65D05 65Y20 65M50 65N50 PDFBibTeX XMLCite \textit{M. Croci} and \textit{P. E. Farrell}, J. Comput. Phys. 414, Article ID 109459, 6 p. (2020; Zbl 1440.65015) Full Text: DOI arXiv
Wang, Tao; Yang, Chaochao; Xie, Xiaoping A Nitsche-extended finite element method for distributed optimal control problems of elliptic interface equations. (English) Zbl 1436.49006 Comput. Methods Appl. Math. 20, No. 2, 379-393 (2020). MSC: 49J20 65M60 PDFBibTeX XMLCite \textit{T. Wang} et al., Comput. Methods Appl. Math. 20, No. 2, 379--393 (2020; Zbl 1436.49006) Full Text: DOI arXiv
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
Zhiliakov, Alexander; Svyatskiy, Daniil; Olshanskii, Maxim; Kikinzon, Evgeny; Shashkov, Mikhail A higher order approximate static condensation method for multi-material diffusion problems. (English) Zbl 1452.65303 J. Comput. Phys. 395, 333-350 (2019). MSC: 65N06 65M06 65N50 PDFBibTeX XMLCite \textit{A. Zhiliakov} et al., J. Comput. Phys. 395, 333--350 (2019; Zbl 1452.65303) Full Text: DOI Link
Obeidat, Anas; Bordas, Stéphane P. A. An implicit boundary approach for viscous compressible high Reynolds flows using a hybrid remeshed particle hydrodynamics method. (English) Zbl 1452.76180 J. Comput. Phys. 391, 347-364 (2019). MSC: 76M28 76S05 65M75 65M50 PDFBibTeX XMLCite \textit{A. Obeidat} and \textit{S. P. A. Bordas}, J. Comput. Phys. 391, 347--364 (2019; Zbl 1452.76180) Full Text: DOI Link
Frachon, Thomas; Zahedi, Sara A cut finite element method for incompressible two-phase Navier-Stokes flows. (English) Zbl 1451.76067 J. Comput. Phys. 384, 77-98 (2019). MSC: 76M10 65M60 76T06 76D05 76D45 PDFBibTeX XMLCite \textit{T. Frachon} and \textit{S. Zahedi}, J. Comput. Phys. 384, 77--98 (2019; Zbl 1451.76067) Full Text: DOI arXiv
Ager, C.; Schott, B.; Winter, M.; Wall, W. A. A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity. (English) Zbl 1441.76119 Comput. Methods Appl. Mech. Eng. 351, 253-280 (2019). MSC: 76S05 76M10 74S05 65M60 74F10 PDFBibTeX XMLCite \textit{C. Ager} et al., Comput. Methods Appl. Mech. Eng. 351, 253--280 (2019; Zbl 1441.76119) Full Text: DOI arXiv
Jonsson, Tobias; Larson, Mats G.; Larsson, Karl Graded parametric CutFEM and CutIGA for elliptic boundary value problems in domains with corners. (English) Zbl 1441.65104 Comput. Methods Appl. Mech. Eng. 354, 331-350 (2019). MSC: 65N30 65D07 65M12 PDFBibTeX XMLCite \textit{T. Jonsson} et al., Comput. Methods Appl. Mech. Eng. 354, 331--350 (2019; Zbl 1441.65104) Full Text: DOI arXiv
Claus, Susanne; Kerfriden, Pierre A CutFEM method for two-phase flow problems. (English) Zbl 1440.76054 Comput. Methods Appl. Mech. Eng. 348, 185-206 (2019). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{S. Claus} and \textit{P. Kerfriden}, Comput. Methods Appl. Mech. Eng. 348, 185--206 (2019; Zbl 1440.76054) Full Text: DOI arXiv
Bui, Huu Phuoc; Tomar, Satyendra; Bordas, Stéphane P. A. Corotational cut finite element method for real-time surgical simulation: application to needle insertion simulation. (English) Zbl 1440.74378 Comput. Methods Appl. Mech. Eng. 345, 183-211 (2019). MSC: 74S05 92C50 65M60 74L15 PDFBibTeX XMLCite \textit{H. P. Bui} et al., Comput. Methods Appl. Mech. Eng. 345, 183--211 (2019; Zbl 1440.74378) Full Text: DOI arXiv
Odsæter, Lars H.; Kvamsdal, Trond; Larson, Mats G. A simple embedded discrete fracture-matrix model for a coupled flow and transport problem in porous media. (English) Zbl 1440.76147 Comput. Methods Appl. Mech. Eng. 343, 572-601 (2019). MSC: 76S05 74S10 74S05 65M08 65M60 74F10 PDFBibTeX XMLCite \textit{L. H. Odsæter} et al., Comput. Methods Appl. Mech. Eng. 343, 572--601 (2019; Zbl 1440.76147) 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
Burman, Erik; Hansbo, Peter; Larson, Mats G.; Samvin, David A cut finite element method for elliptic bulk problems with embedded surfaces. (English) Zbl 1419.76434 GEM. Int. J. Geomath. 10, No. 1, Paper No. 10, 22 p. (2019). MSC: 76M10 76S05 65M60 74F10 PDFBibTeX XMLCite \textit{E. Burman} et al., GEM. Int. J. Geomath. 10, Paper No. 10, 22 p. (2019; Zbl 1419.76434) Full Text: DOI arXiv
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
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
Kadapa, C.; Dettmer, W. G.; Perić, D. A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid-solid contact. (English) Zbl 1440.74406 Comput. Methods Appl. Mech. Eng. 335, 472-489 (2018). MSC: 74S05 65M60 74F10 74M15 76D05 PDFBibTeX XMLCite \textit{C. Kadapa} et al., Comput. Methods Appl. Mech. Eng. 335, 472--489 (2018; Zbl 1440.74406) Full Text: DOI
Winter, M.; Schott, B.; Massing, A.; Wall, W. A. A Nitsche cut finite element method for the Oseen problem with general Navier boundary conditions. (English) Zbl 1439.76102 Comput. Methods Appl. Mech. Eng. 330, 220-252 (2018). MSC: 76M10 65M60 35Q30 76D05 PDFBibTeX XMLCite \textit{M. Winter} et al., Comput. Methods Appl. Mech. Eng. 330, 220--252 (2018; Zbl 1439.76102) 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
Kikinzon, Evgeny; Shashkov, Mikhail; Garimella, Rao Establishing mesh topology in multi-material cells: enabling technology for robust and accurate multi-material simulations. (English) Zbl 1410.76239 Comput. Fluids 172, 251-263 (2018). MSC: 76M12 65M50 65N50 76-04 PDFBibTeX XMLCite \textit{E. Kikinzon} et al., Comput. Fluids 172, 251--263 (2018; Zbl 1410.76239) Full Text: DOI Link
Chernyshenko, Alexey Y.; Olshanskii, Maxim A.; Vassilevski, Yuri V. A hybrid finite volume – finite element method for bulk-surface coupled problems. (English) Zbl 1375.76098 J. Comput. Phys. 352, 516-533 (2018). MSC: 76M12 76M10 76S05 65M08 65M06 PDFBibTeX XMLCite \textit{A. Y. Chernyshenko} et al., J. Comput. Phys. 352, 516--533 (2018; Zbl 1375.76098) Full Text: DOI arXiv
Kadapa, C.; Dettmer, W. G.; Perić, D. A stabilised immersed boundary method on hierarchical b-spline grids for fluid-rigid body interaction with solid-solid contact. (English) Zbl 1439.74429 Comput. Methods Appl. Mech. Eng. 318, 242-269 (2017). MSC: 74S05 74S15 65M60 65D07 74F10 74M15 76D05 76M10 76M15 PDFBibTeX XMLCite \textit{C. Kadapa} et al., Comput. Methods Appl. Mech. Eng. 318, 242--269 (2017; Zbl 1439.74429) Full Text: DOI
Kikinzon, Evgeny; Kuznetsov, Yuri; Lipnikov, Konstatin; Shashkov, Mikhail Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces. (English) Zbl 1380.65234 J. Comput. Phys. 347, 416-436 (2017). MSC: 65M50 35Q79 PDFBibTeX XMLCite \textit{E. Kikinzon} et al., J. Comput. Phys. 347, 416--436 (2017; Zbl 1380.65234) Full Text: DOI Link
Chernyshenko, Alexey; Olshahskii, Maxim; Vassilevski, Yuri A hybrid finite volume – finite element method for modeling flows in fractured media. (English) Zbl 1365.76110 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 527-535 (2017). MSC: 76M10 76M12 76S05 65M60 65N08 PDFBibTeX XMLCite \textit{A. Chernyshenko} et al., Springer Proc. Math. Stat. 200, 527--535 (2017; Zbl 1365.76110) Full Text: DOI
Ji, Haifeng; Wang, Feng; Chen, Jinru Unfitted finite element methods for the heat conduction in composite media with contact resistance. (English) Zbl 1365.65223 Numer. Methods Partial Differ. Equations 33, No. 1, 354-380 (2017). Reviewer: I. N. Katz (St. Louis) MSC: 65M60 35K05 65M50 PDFBibTeX XMLCite \textit{H. Ji} et al., Numer. Methods Partial Differ. Equations 33, No. 1, 354--380 (2017; Zbl 1365.65223) Full Text: DOI
Alauzet, Frédéric; Fabrèges, Benoit; Fernández, Miguel A.; Landajuela, Mikel Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures. (English) Zbl 1423.76201 Comput. Methods Appl. Mech. Eng. 301, 300-335 (2016). MSC: 76M10 65M60 74F10 76D05 PDFBibTeX XMLCite \textit{F. Alauzet} et al., Comput. Methods Appl. Mech. Eng. 301, 300--335 (2016; Zbl 1423.76201) Full Text: DOI Link
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