García Bautista, Javier; de la Llave Plata, Marta; Couaillier, Vincent; Visonneau, Michel; Schneider, Kai \(h\)-adaptation for high-order discontinuous Galerkin schemes built on local multiwavelet analysis. (English) Zbl 1521.76423 Comput. Fluids 256, Article ID 105844, 23 p. (2023). MSC: 76M12 65M60 65T60 76M10 PDFBibTeX XMLCite \textit{J. García Bautista} et al., Comput. Fluids 256, Article ID 105844, 23 p. (2023; Zbl 1521.76423) Full Text: DOI
Gomes, Anna Karina Fontes; Domingues, Margarete Oliveira; Mendes, Odim; Schneider, Kai Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics. (English) Zbl 1465.65083 Adv. Comput. Math. 47, No. 2, Paper No. 22, 29 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M50 65T60 76W05 35Q35 PDFBibTeX XMLCite \textit{A. K. F. Gomes} et al., Adv. Comput. Math. 47, No. 2, Paper No. 22, 29 p. (2021; Zbl 1465.65083) Full Text: DOI arXiv
Moreira Lopes, Müller; Domingues, Margarete Oliveira; Schneider, Kai; Mendes, Odim Local time-stepping for adaptive multiresolution using natural extension of Runge-Kutta methods. (English) Zbl 1451.65121 J. Comput. Phys. 382, 291-318 (2019). MSC: 65M08 65M50 65L06 76N15 35K57 PDFBibTeX XMLCite \textit{M. Moreira Lopes} et al., J. Comput. Phys. 382, 291--318 (2019; Zbl 1451.65121) Full Text: DOI arXiv
Oliveira Domingues, Margarete; Deiterding, Ralf; Moreira Lopes, Muller; Fontes Gomes, Anna Karina; Mendes, Odim; Schneider, Kai Wavelet-based parallel dynamic mesh adaptation for magnetohydrodynamics in the AMROC framework. (English) Zbl 1496.76090 Comput. Fluids 190, 374-381 (2019). MSC: 76M12 76W05 65M08 PDFBibTeX XMLCite \textit{M. Oliveira Domingues} et al., Comput. Fluids 190, 374--381 (2019; Zbl 1496.76090) Full Text: DOI arXiv Link
Kadoch, Benjamin; Reimann, Thorsten; Schneider, Kai; Schäfer, Michael Comparison of a spectral method with volume penalization and a finite volume method with body fitted grids for turbulent flows. (English) Zbl 1390.76652 Comput. Fluids 133, 140-150 (2016). MSC: 76M22 76F65 76M12 PDFBibTeX XMLCite \textit{B. Kadoch} et al., Comput. Fluids 133, 140--150 (2016; Zbl 1390.76652) Full Text: DOI HAL
Okamoto, Naoya; Oliveira Domingues, Margarete; Yoshimatsu, Katsunori; Schneider, Kai Adaptive wavelet simulation of weakly compressible flow in a channel with a suddenly expanded section. (English. French summary) Zbl 1408.76386 ESAIM, Proc. Surv. 53, 38-48 (2016). MSC: 76M12 65M08 76Nxx 65T60 PDFBibTeX XMLCite \textit{N. Okamoto} et al., ESAIM, Proc. Surv. 53, 38--48 (2016; Zbl 1408.76386) Full Text: DOI
Deiterding, Ralf; Domingues, Margarete O.; Gomes, Sônia M.; Schneider, Kai Comparison of adaptive multiresolution and adaptive mesh refinement applied to simulations of the compressible Euler equations. (English) Zbl 1457.65069 SIAM J. Sci. Comput. 38, No. 5, S173-S193 (2016). MSC: 65M08 65N08 65M50 65M06 65M12 65Y20 76L05 76N06 76M12 35Q31 PDFBibTeX XMLCite \textit{R. Deiterding} et al., SIAM J. Sci. Comput. 38, No. 5, S173--S193 (2016; Zbl 1457.65069) Full Text: DOI arXiv
Gomes, Anna Karina Fontes; Domingues, Margarete Oliveira; Schneider, Kai; Mendes, Odim; Deiterding, Ralf An adaptive multiresolution method for ideal magnetohydrodynamics using divergence cleaning with parabolic-hyperbolic correction. (English) Zbl 1320.76080 Appl. Numer. Math. 95, 199-213 (2015). MSC: 76M12 65M08 76W05 PDFBibTeX XMLCite \textit{A. K. F. Gomes} et al., Appl. Numer. Math. 95, 199--213 (2015; Zbl 1320.76080) Full Text: DOI arXiv
Domingues, M. O.; Gomes, A. K. F.; Gomes, S. M.; Mendes, O.; Di Pierro, B.; Schneider, K. Extended generalized Lagrangian multipliers for magnetohydrodynamics using adaptive multiresolution methods. (English. French summary) Zbl 1329.76202 ESAIM, Proc. 43, 95-107 (2013). MSC: 76M12 65M08 76W05 PDFBibTeX XMLCite \textit{M. O. Domingues} et al., ESAIM, Proc. 43, 95--107 (2013; Zbl 1329.76202) Full Text: DOI
Domingues, Margarete O.; Gomes, Sônia M.; Roussel, Olivier; Schneider, Kai Space-time adaptive multiresolution techniques for compressible Euler equations. (English) Zbl 1273.65115 de Moura, Carlos A. (ed.) et al., The Courant–Friedrichs–Lewy (CFL) condition. 80 years after its discovery. Papers based on the presentations at the meeting, Rio de Janeiro, Brazil, May 3–7, 2010. Boston, MA: Birkhäuser (ISBN 978-0-8176-8393-1/hbk; 978-0-8176-8394-8/ebook). 101-117 (2013). MSC: 65M08 PDFBibTeX XMLCite \textit{M. O. Domingues} et al., in: The Courant--Friedrichs--Lewy (CFL) condition. 80 years after its discovery. Papers based on the presentations at the meeting, Rio de Janeiro, Brazil, May 3--7, 2010. Boston, MA: Birkhäuser. 101--117 (2013; Zbl 1273.65115) Full Text: DOI
Domingues, Margarete O.; Gomes, Sônia M.; Roussel, Olivier; Schneider, Kai Adaptive multiresolution methods. (English) Zbl 1302.65185 ESAIM, Proc. 34, 1-96 (2011). MSC: 65M06 65M08 PDFBibTeX XMLCite \textit{M. O. Domingues} et al., ESAIM, Proc. 34, 1--96 (2011; Zbl 1302.65185) Full Text: DOI
Bürger, Raimund; Ruiz-Baier, Ricardo; Schneider, Kai Adaptive multiresolution methods for the simulation of waves in excitable media. (English) Zbl 1203.65158 J. Sci. Comput. 43, No. 2, 261-290 (2010). MSC: 65M08 92C30 PDFBibTeX XMLCite \textit{R. Bürger} et al., J. Sci. Comput. 43, No. 2, 261--290 (2010; Zbl 1203.65158) Full Text: DOI Link
Roussel, Olivier; Schneider, Kai Coherent vortex simulation of weakly compressible turbulent mixing layers using adaptive multiresolution methods. (English) Zbl 1303.76137 J. Comput. Phys. 229, No. 6, 2267-2286 (2010). MSC: 76V05 65M08 80A32 PDFBibTeX XMLCite \textit{O. Roussel} and \textit{K. Schneider}, J. Comput. Phys. 229, No. 6, 2267--2286 (2010; Zbl 1303.76137) Full Text: DOI
Domingues, Margarete O.; Roussel, Olivier; Schneider, Kai An adaptive multiresolution method for parabolic PDEs with time-step control. (English) Zbl 1183.76816 Int. J. Numer. Methods Eng. 78, No. 6, 652-670 (2009). MSC: 76M12 76M20 76V05 76D99 PDFBibTeX XMLCite \textit{M. O. Domingues} et al., Int. J. Numer. Methods Eng. 78, No. 6, 652--670 (2009; Zbl 1183.76816) Full Text: DOI
Deiterding, Ralf; Domingues, Margarete O.; Gomes, Sônia M.; Roussel, Olivier; Schneider, Kai Adaptive multiresolution or adaptive mesh refinement? A case study for 2D Euler equations. (English) Zbl 1301.76058 ESAIM, Proc. 29, 28-42 (2009). MSC: 76M25 65M08 65M50 76N15 PDFBibTeX XMLCite \textit{R. Deiterding} et al., ESAIM, Proc. 29, 28--42 (2009; Zbl 1301.76058) Full Text: DOI
Domingues, Margarete O.; Gomes, Sônia M.; Roussel, Olivier; Schneider, Kai Space-time adaptive multiresolution methods for hyperbolic conservation laws: Applications to compressible Euler equations. (English) Zbl 1165.76031 Appl. Numer. Math. 59, No. 9, 2303-2321 (2009). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{M. O. Domingues} et al., Appl. Numer. Math. 59, No. 9, 2303--2321 (2009; Zbl 1165.76031) Full Text: DOI
Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo; Schneider, Kai Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems. (English) Zbl 1400.65042 Appl. Numer. Math. 59, No. 7, 1668-1692 (2009). MSC: 65M06 35K20 35K57 76T20 92C17 PDFBibTeX XMLCite \textit{M. Bendahmane} et al., Appl. Numer. Math. 59, No. 7, 1668--1692 (2009; Zbl 1400.65042) Full Text: DOI arXiv
Bürger, Raimund; Ruiz, Ricardo; Schneider, Kai; Sepúlveda, Mauricio Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension. (English) Zbl 1147.65066 ESAIM, Math. Model. Numer. Anal. 42, No. 4, 535-563 (2008). MSC: 65M06 35R05 76T20 35K65 65M12 76M12 65M50 65M15 PDFBibTeX XMLCite \textit{R. Bürger} et al., ESAIM, Math. Model. Numer. Anal. 42, No. 4, 535--563 (2008; Zbl 1147.65066) Full Text: DOI arXiv EuDML
Domingues, Margarete O.; Gomes, Sônia M.; Roussel, Olivier; Schneider, Kai An adaptive multiresolution scheme with local time stepping for evolutionary PDEs. (English) Zbl 1139.65060 J. Comput. Phys. 227, No. 8, 3758-3780 (2008). MSC: 65M06 35K55 65M20 65M12 65M50 65L06 PDFBibTeX XMLCite \textit{M. O. Domingues} et al., J. Comput. Phys. 227, No. 8, 3758--3780 (2008; Zbl 1139.65060) Full Text: DOI
Bürger, Raimund; Ruiz, Ricardo; Schneider, Kai; Sepúlveda, Mauricio A. Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux. (English) Zbl 1137.65393 J. Eng. Math. 60, No. 3-4, 365-385 (2008). MSC: 65M06 35K55 35K65 90B20 PDFBibTeX XMLCite \textit{R. Bürger} et al., J. Eng. Math. 60, No. 3--4, 365--385 (2008; Zbl 1137.65393) Full Text: DOI arXiv Link
Domingues, Margarete O.; Roussel, Olivier; Schneider, Kai On space-time adaptive schemes for the numerical solution of PDEs. (English) Zbl 1206.65228 ESAIM, Proc. 16, 181-194 (2007). MSC: 65M50 65L06 76M12 PDFBibTeX XMLCite \textit{M. O. Domingues} et al., ESAIM, Proc. 16, 181--194 (2007; Zbl 1206.65228) Full Text: DOI
Roussel, Olivier; Schneider, Kai Numerical study of thermodiffusive flame structures interacting with adiabatic walls using an adaptive multiresolution scheme. (English) Zbl 1121.80330 Combust. Theory Model. 10, No. 2, 273-288 (2006). MSC: 80A25 80A30 80M25 PDFBibTeX XMLCite \textit{O. Roussel} and \textit{K. Schneider}, Combust. Theory Model. 10, No. 2, 273--288 (2006; Zbl 1121.80330) Full Text: DOI
Roussel, Olivier; Schneider, Kai Numerical study of thermodiffusive flame structures interacting with adiabatic walls using an adaptive multiresolution scheme. (English) Zbl 1121.80329 Combust. Theory Model. 10, No. 2, 273-288 (2006). MSC: 80A25 80M20 80M25 PDFBibTeX XMLCite \textit{O. Roussel} and \textit{K. Schneider}, Combust. Theory Model. 10, No. 2, 273--288 (2006; Zbl 1121.80329) Full Text: DOI
Roussel, Olivier; Schneider, Kai Adaptive numerical simulation of pulsating planar flames for large Lewis and Zeldovich ranges. (English) Zbl 1089.80003 Commun. Nonlinear Sci. Numer. Simul. 11, No. 3, 463-480 (2006). MSC: 80A25 PDFBibTeX XMLCite \textit{O. Roussel} and \textit{K. Schneider}, Commun. Nonlinear Sci. Numer. Simul. 11, No. 3, 463--480 (2006; Zbl 1089.80003) Full Text: DOI
Roussel, Olivier; Schneider, Kai An adaptive multiresolution method for combustion problems: application to flame ball-vortex interaction. (English) Zbl 1134.80304 Comput. Fluids 34, No. 7, 817-831 (2005). MSC: 80M25 80A25 76M12 76V05 PDFBibTeX XMLCite \textit{O. Roussel} and \textit{K. Schneider}, Comput. Fluids 34, No. 7, 817--831 (2005; Zbl 1134.80304) Full Text: DOI
Roussel, Olivier; Schneider, Kai; Tsigulin, Alexei; Bockhorn, Henning A conservative fully adaptive multiresolution algorithm for parabolic PDEs. (English) Zbl 1022.65093 J. Comput. Phys. 188, No. 2, 493-523 (2003). MSC: 65M06 65M15 65Y20 35Q53 35K55 PDFBibTeX XMLCite \textit{O. Roussel} et al., J. Comput. Phys. 188, No. 2, 493--523 (2003; Zbl 1022.65093) Full Text: DOI
Roussel, Olivier; Schneider, Kai A fully adaptive multiresolution scheme for 3D reaction-diffusion equations. (English) Zbl 1060.65094 Herbin, Raphaéle (ed.) et al., Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24–28, 2002. London: Hermes Penton Science (ISBN 1-9039-9634-1/pbk). 833-840 (2002). MSC: 65M06 65M20 65L06 35K57 65T60 80A32 80M20 PDFBibTeX XMLCite \textit{O. Roussel} and \textit{K. Schneider}, in: Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24--28, 2002. London: Hermes Penton Science. 833--840 (2002; Zbl 1060.65094)