Lei, Nuo; Cheng, Juan; Shu, Chi-Wang A high order positivity-preserving polynomial projection remapping method. (English) Zbl 07640575 J. Comput. Phys. 474, Article ID 111826, 29 p. (2023). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{N. Lei} et al., J. Comput. Phys. 474, Article ID 111826, 29 p. (2023; Zbl 07640575) Full Text: DOI
Titarev, V. A.; Morozov, A. A. Arbitrary Lagrangian-Eulerian discrete velocity method with application to laser-induced plume expansion. (English) Zbl 1510.76128 Appl. Math. Comput. 429, Article ID 127241, 19 p. (2022). MSC: 76M28 65M75 35Q20 65C05 PDFBibTeX XMLCite \textit{V. A. Titarev} and \textit{A. A. Morozov}, Appl. Math. Comput. 429, Article ID 127241, 19 p. (2022; Zbl 1510.76128) Full Text: DOI
Luo, Dongmi; Li, Shiyi; Huang, Weizhang; Qiu, Jianxian; Chen, Yibing A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux. II: ALE framework. (English) Zbl 1480.65266 J. Sci. Comput. 90, No. 1, Paper No. 46, 35 p. (2022). MSC: 65M60 65L06 65N30 65N50 35L65 76T10 76T30 76N15 PDFBibTeX XMLCite \textit{D. Luo} et al., J. Sci. Comput. 90, No. 1, Paper No. 46, 35 p. (2022; Zbl 1480.65266) Full Text: DOI arXiv
Kesler, Ian; Lan, Rihui; Sun, Pengtao The arbitrary Lagrangian-Eulerian finite element method for a transient Stokes/parabolic interface problem. (English) Zbl 1499.65500 Int. J. Numer. Anal. Model. 18, No. 3, 339-361 (2021). MSC: 65M60 65M12 65M15 65M22 65M06 65N30 76D07 74F10 35K41 PDFBibTeX XMLCite \textit{I. Kesler} et al., Int. J. Numer. Anal. Model. 18, No. 3, 339--361 (2021; Zbl 1499.65500) Full Text: Link
Pan, Liang; Xu, Kun An arbitrary-Lagrangian-Eulerian high-order gas-kinetic scheme for three-dimensional computations. (English) Zbl 1482.65165 J. Sci. Comput. 88, No. 1, Paper No. 8, 29 p. (2021). Reviewer: Michael Jung (Dresden) MSC: 65M08 65M22 41A58 82C40 76P05 76N15 35Q20 PDFBibTeX XMLCite \textit{L. Pan} and \textit{K. Xu}, J. Sci. Comput. 88, No. 1, Paper No. 8, 29 p. (2021; Zbl 1482.65165) Full Text: DOI
Gao, Yulong; Li, Yonghai; Yuan, Guangwei; Sheng, Zhiqiang New finite volume element methods in the ALE framework for time-dependent convection-diffusion problems in moving domains. (English) Zbl 1468.65124 J. Comput. Appl. Math. 393, Article ID 113537, 16 p. (2021). MSC: 65M08 65M06 65M12 65M15 35R37 PDFBibTeX XMLCite \textit{Y. Gao} et al., J. Comput. Appl. Math. 393, Article ID 113537, 16 p. (2021; Zbl 1468.65124) Full Text: DOI
Agnese, Marco; Nürnberg, Robert Fitted front tracking methods for two-phase ncompressible Navier-Stokes flow: Eulerian and ALE finite element discretizations. (English) Zbl 1471.76084 Int. J. Numer. Anal. Model. 17, No. 5, 613-642 (2020). MSC: 76T99 76M10 35Q30 65M60 76D05 PDFBibTeX XMLCite \textit{M. Agnese} and \textit{R. Nürnberg}, Int. J. Numer. Anal. Model. 17, No. 5, 613--642 (2020; Zbl 1471.76084) Full Text: arXiv Link
Beringhier, Marianne; Gigliotti, Marco; Vannucci, Paolo Identification of diffusion properties of polymer-matrix composite materials with complex texture. (English) Zbl 1434.80009 J. Optim. Theory Appl. 184, No. 1, 188-209 (2020). MSC: 80A23 45Q05 35R30 80M50 90C31 46N10 90C57 PDFBibTeX XMLCite \textit{M. Beringhier} et al., J. Optim. Theory Appl. 184, No. 1, 188--209 (2020; Zbl 1434.80009) Full Text: DOI
Li, Yue; Cheng, Juan; Xia, Yinhua; Shu, Chi-Wang High order arbitrary Lagrangian-Eulerian finite difference WENO scheme for Hamilton-Jacobi equations. (English) Zbl 1473.65114 Commun. Comput. Phys. 26, No. 5, 1530-1574 (2019). MSC: 65M06 35F21 PDFBibTeX XMLCite \textit{Y. Li} et al., Commun. Comput. Phys. 26, No. 5, 1530--1574 (2019; Zbl 1473.65114) Full Text: DOI
Vlasák, Miloslav Stability of ALE discontinuous Galerkin method with Radau quadrature. (English) Zbl 1463.65309 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. 169-176 (2019). MSC: 65M60 65M99 65L06 35K55 65D32 65M50 PDFBibTeX XMLCite \textit{M. Vlasák}, 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. 169--176 (2019; Zbl 1463.65309) Full Text: DOI
Tao, Qi; Xu, Yan Superconvergence of arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for linear hyperbolic equations. (English) Zbl 1428.65047 SIAM J. Numer. Anal. 57, No. 5, 2142-2165 (2019). MSC: 65M60 65M12 65M15 35L40 PDFBibTeX XMLCite \textit{Q. Tao} and \textit{Y. Xu}, SIAM J. Numer. Anal. 57, No. 5, 2142--2165 (2019; Zbl 1428.65047) Full Text: DOI
Grandmont, Céline; Lukáčová-Medvid’ová, Mária; Nečasová, Šárka Mathematical and numerical analysis of some FSI problems. (English) Zbl 1365.74066 Bodnár, Tomáš (ed.) et al., Fluid-structure interaction and biomedical applications. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0821-7/hbk; 978-3-0348-0822-4/ebook). Advances in Mathematical Fluid Mechanics, 1-77 (2014). MSC: 74F10 76D05 74S05 76M10 35Q74 35Q35 PDFBibTeX XMLCite \textit{C. Grandmont} et al., in: Fluid-structure interaction and biomedical applications. Basel: Birkhäuser/Springer. 1--77 (2014; Zbl 1365.74066) Full Text: DOI
Acosta Minoli, Cesar A.; Kopriva, David A. Boundary states at reflective moving boundaries. (English) Zbl 1250.78048 J. Comput. Phys. 231, No. 11, 4160-4184 (2012). MSC: 78M22 76Q05 65M70 35Q31 PDFBibTeX XMLCite \textit{C. A. Acosta Minoli} and \textit{D. A. Kopriva}, J. Comput. Phys. 231, No. 11, 4160--4184 (2012; Zbl 1250.78048) Full Text: DOI
Liska, R.; Kuchařík, M.; Limpouch, J.; Renner, O.; Váchal, P. ALE method for simulations of laser-produced plasmas. (English) Zbl 1246.82098 Fořt, Jaroslav (ed.) et al., Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Berlin: Springer (ISBN 978-3-642-20670-2/hbk; 978-3-642-20671-9/ebook). Springer Proceedings in Mathematics 4, 857-873 (2011). MSC: 82C80 82D10 35L65 35K05 PDFBibTeX XMLCite \textit{R. Liska} et al., Springer Proc. Math. 4, 857--873 (2011; Zbl 1246.82098) Full Text: DOI
Feistauer, Miloslav; Česenek, Jan Space-time discontinuous Galerkin finite element method for convection-diffusion problems and compressible flow. (English) Zbl 1317.65205 Dimov, Ivan (ed.) et al., Numerical methods and applications. 7th international conference, NMA 2010, Borovets, Bulgaria, August 20–24, 2010. Revised papers. Berlin: Springer (ISBN 978-3-642-18465-9/pbk). Lecture Notes in Computer Science 6046, 1-13 (2011). MSC: 65M60 35K55 35Q35 65M15 76M10 76N99 76R99 PDFBibTeX XMLCite \textit{M. Feistauer} and \textit{J. Česenek}, Lect. Notes Comput. Sci. 6046, 1--13 (2011; Zbl 1317.65205) Full Text: DOI
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M. Global \(C^1\) maps on general domains. (English) Zbl 1196.35030 Math. Models Methods Appl. Sci. 19, No. 5, 803-832 (2009). MSC: 35A35 65N35 65N30 65N50 35B30 35B65 37C05 54C05 74S05 74S25 PDFBibTeX XMLCite \textit{A. E. Løvgren} et al., Math. Models Methods Appl. Sci. 19, No. 5, 803--832 (2009; Zbl 1196.35030) Full Text: DOI