Faustmann, Markus; Marcati, Carlo; Melenk, Jens Markus; Schwab, Christoph Exponential convergence of \(hp\)-FEM for the integral fractional Laplacian in polygons. (English) Zbl 07770179 SIAM J. Numer. Anal. 61, No. 6, 2601-2622 (2023). MSC: 65N30 65N12 65N15 26A33 35R11 PDFBibTeX XMLCite \textit{M. Faustmann} et al., SIAM J. Numer. Anal. 61, No. 6, 2601--2622 (2023; Zbl 07770179) Full Text: DOI arXiv
Faustmann, Markus; Karkulik, Michael; Melenk, Jens Markus Local convergence of the FEM for the integral fractional Laplacian. (English) Zbl 07534669 SIAM J. Numer. Anal. 60, No. 3, 1055-1082 (2022). MSC: 65-XX 35R11 65N15 65N30 PDFBibTeX XMLCite \textit{M. Faustmann} et al., SIAM J. Numer. Anal. 60, No. 3, 1055--1082 (2022; Zbl 07534669) Full Text: DOI arXiv
Melenk, Jens M.; Sauter, Stefan A.; Torres, Céline Wavenumber explicit analysis for Galerkin discretizations of lossy Helmholtz problems. (English) Zbl 1445.35130 SIAM J. Numer. Anal. 58, No. 4, 2119-2143 (2020). MSC: 35J05 65N30 65N12 PDFBibTeX XMLCite \textit{J. M. Melenk} et al., SIAM J. Numer. Anal. 58, No. 4, 2119--2143 (2020; Zbl 1445.35130) Full Text: DOI arXiv
Feischl, M.; Karkulik, M.; Melenk, J. M.; Praetorius, D. Quasi-optimal convergence rate for an adaptive boundary element method. (English) Zbl 1273.65186 SIAM J. Numer. Anal. 51, No. 2, 1327-1348 (2013). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65N50 65N12 65N15 35J05 PDFBibTeX XMLCite \textit{M. Feischl} et al., SIAM J. Numer. Anal. 51, No. 2, 1327--1348 (2013; Zbl 1273.65186) Full Text: DOI Link
Hewett, D. P.; Langdon, S.; Melenk, J. M. A high frequency \(hp\) boundary element method for scattering by convex polygons. (English) Zbl 1267.65191 SIAM J. Numer. Anal. 51, No. 1, 629-653 (2013). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65N12 35J05 65N15 PDFBibTeX XMLCite \textit{D. P. Hewett} et al., SIAM J. Numer. Anal. 51, No. 1, 629--653 (2013; Zbl 1267.65191) Full Text: DOI
Melenk, J. M.; Wohlmuth, B. Quasi-optimal approximation of surface based Lagrange multipliers in finite element methods. (English) Zbl 1262.65159 SIAM J. Numer. Anal. 50, No. 4, 2064-2087 (2012). Reviewer: Nina Shokina (Freiburg) MSC: 65N15 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{J. M. Melenk} and \textit{B. Wohlmuth}, SIAM J. Numer. Anal. 50, No. 4, 2064--2087 (2012; Zbl 1262.65159) Full Text: DOI Link
Löhndorf, Maike; Melenk, Jens Markus Wavenumber-explicit \(hp\)-BEM for high frequency scattering. (English) Zbl 1236.65149 SIAM J. Numer. Anal. 49, No. 6, 2340-2363 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 78M10 35J05 78A45 65N12 PDFBibTeX XMLCite \textit{M. Löhndorf} and \textit{J. M. Melenk}, SIAM J. Numer. Anal. 49, No. 6, 2340--2363 (2011; Zbl 1236.65149) Full Text: DOI
Melenk, J. M.; Sauter, S. Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation. (English) Zbl 1229.35038 SIAM J. Numer. Anal. 49, No. 3, 1210-1243 (2011). MSC: 35J05 65N12 65N30 35J40 PDFBibTeX XMLCite \textit{J. M. Melenk} and \textit{S. Sauter}, SIAM J. Numer. Anal. 49, No. 3, 1210--1243 (2011; Zbl 1229.35038) Full Text: DOI Link
Melenk, J. M. \(hp\)-interpolation of nonsmooth functions and an application to \(hp\)-a posteriori error estimation. (English) Zbl 1087.65108 SIAM J. Numer. Anal. 43, No. 1, 127-155 (2005). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65N30 65N50 65N12 35J25 PDFBibTeX XMLCite \textit{J. M. Melenk}, SIAM J. Numer. Anal. 43, No. 1, 127--155 (2005; Zbl 1087.65108) Full Text: DOI
Khoromskij, B. N.; Melenk, J. M. Boundary concentrated finite element methods. (English) Zbl 1050.65113 SIAM J. Numer. Anal. 41, No. 1, 1-36 (2003). Reviewer: János Karátson (Budapest) MSC: 65N30 65F10 35D10 35J25 65F35 65N12 65Y20 PDFBibTeX XMLCite \textit{B. N. Khoromskij} and \textit{J. M. Melenk}, SIAM J. Numer. Anal. 41, No. 1, 1--36 (2003; Zbl 1050.65113) Full Text: DOI
Melenk, Jens Markus; Schwab, Christoph \(hp\) FEM for reaction-diffusion equations. I: Robust exponential convergence. (English) Zbl 0972.65093 SIAM J. Numer. Anal. 35, No. 4, 1520-1557 (1998). MSC: 65N30 35B25 35J65 65N35 65N12 PDFBibTeX XMLCite \textit{J. M. Melenk} and \textit{C. Schwab}, SIAM J. Numer. Anal. 35, No. 4, 1520--1557 (1998; Zbl 0972.65093) Full Text: DOI