Yan, Qile; Jiang, Shixiao Willing; Harlim, John Spectral methods for solving elliptic PDEs on unknown manifolds. (English) Zbl 07788137 J. Comput. Phys. 486, Article ID 112132, 27 p. (2023). MSC: 65Mxx 65Nxx 65Dxx PDFBibTeX XMLCite \textit{Q. Yan} et al., J. Comput. Phys. 486, Article ID 112132, 27 p. (2023; Zbl 07788137) Full Text: DOI arXiv
Wei, Xiaoyu; Klöckner, Andreas; Kirby, Robert C. Integral equation methods for the Morse-ingard equations. (English) Zbl 07742902 J. Comput. Phys. 492, Article ID 112416, 14 p. (2023). MSC: 35Jxx 65Dxx 65Rxx PDFBibTeX XMLCite \textit{X. Wei} et al., J. Comput. Phys. 492, Article ID 112416, 14 p. (2023; Zbl 07742902) Full Text: DOI arXiv
Pei, Ruqi; Askham, Travis; Greengard, Leslie; Jiang, Shidong A fast method for imposing periodic boundary conditions on arbitrarily-shaped lattices in two dimensions. (English) Zbl 07640549 J. Comput. Phys. 474, Article ID 111792, 35 p. (2023). MSC: 65Nxx 35Jxx 65Dxx PDFBibTeX XMLCite \textit{R. Pei} et al., J. Comput. Phys. 474, Article ID 111792, 35 p. (2023; Zbl 07640549) Full Text: DOI
Cockburn, Bernardo; Xia, Shiqiang An adjoint-based super-convergent Galerkin approximation of eigenvalues. (English) Zbl 07524805 J. Comput. Phys. 449, Article ID 110816, 21 p. (2022). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{B. Cockburn} and \textit{S. Xia}, J. Comput. Phys. 449, Article ID 110816, 21 p. (2022; Zbl 07524805) Full Text: DOI
Morse, Matthew J.; Rahimian, Abtin; Zorin, Denis A robust solver for elliptic PDEs in 3D complex geometries. (English) Zbl 07513809 J. Comput. Phys. 442, Article ID 110511, 26 p. (2021). MSC: 65Nxx 65Dxx 35Jxx PDFBibTeX XMLCite \textit{M. J. Morse} et al., J. Comput. Phys. 442, Article ID 110511, 26 p. (2021; Zbl 07513809) Full Text: DOI arXiv
Khoromskij, Boris N. Range-separated tensor decomposition of the discretized Dirac delta and elliptic operator inverse. (English) Zbl 1453.65035 J. Comput. Phys. 401, Article ID 108998, 20 p. (2020). MSC: 65D12 35Q60 65M60 65M06 78A30 PDFBibTeX XMLCite \textit{B. N. Khoromskij}, J. Comput. Phys. 401, Article ID 108998, 20 p. (2020; Zbl 1453.65035) Full Text: DOI arXiv
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus Combination technique based \(k\)-th moment analysis of elliptic problems with random diffusion. (English) Zbl 1349.35441 J. Comput. Phys. 252, 128-141 (2013). MSC: 35R60 35J25 PDFBibTeX XMLCite \textit{H. Harbrecht} et al., J. Comput. Phys. 252, 128--141 (2013; Zbl 1349.35441) Full Text: DOI
Piret, Cécile The orthogonal gradients method: a radial basis functions method for solving partial differential equations on arbitrary surfaces. (English) Zbl 1248.35009 J. Comput. Phys. 231, No. 14, 4662-4675 (2012). MSC: 35A35 65M06 58J05 58J35 PDFBibTeX XMLCite \textit{C. Piret}, J. Comput. Phys. 231, No. 14, 4662--4675 (2012; Zbl 1248.35009) Full Text: DOI Link
Boyd, John P.; Yu, Fu Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions. (English) Zbl 1210.65192 J. Comput. Phys. 230, No. 4, 1408-1438 (2011). MSC: 65N35 PDFBibTeX XMLCite \textit{J. P. Boyd} and \textit{F. Yu}, J. Comput. Phys. 230, No. 4, 1408--1438 (2011; Zbl 1210.65192) Full Text: DOI
Helsing, Johan; Ojala, Rikard On the evaluation of layer potentials close to their sources. (English) Zbl 1135.65404 J. Comput. Phys. 227, No. 5, 2899-2921 (2008). MSC: 65N38 35J05 PDFBibTeX XMLCite \textit{J. Helsing} and \textit{R. Ojala}, J. Comput. Phys. 227, No. 5, 2899--2921 (2008; Zbl 1135.65404) Full Text: DOI
Nguyen, N. C. A posteriori error estimation and basis adaptivity for reduced-basis approximation of nonaffine-parametrized linear elliptic partial differential equations. (English) Zbl 1140.65077 J. Comput. Phys. 227, No. 2, 983-1006 (2007). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N15 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{N. C. Nguyen}, J. Comput. Phys. 227, No. 2, 983--1006 (2007; Zbl 1140.65077) Full Text: DOI
Smereka, Peter The numerical approximation of a delta function with application to level set methods. (English) Zbl 1086.65503 J. Comput. Phys. 211, No. 1, 77-90 (2006). MSC: 65D15 65L10 34B05 35J05 65N06 PDFBibTeX XMLCite \textit{P. Smereka}, J. Comput. Phys. 211, No. 1, 77--90 (2006; Zbl 1086.65503) Full Text: DOI
Li, Xianggui; Chan, C. K.; Wang, Song The finite element method with weighted basis functions for singularly perturbed convection-diffusion problems. (English) Zbl 1083.65106 J. Comput. Phys. 195, No. 2, 773-789 (2004). Reviewer: Ramaz Botchorishvili (Tbilisi) MSC: 65N30 65L60 35J25 34B05 35B25 34E15 PDFBibTeX XMLCite \textit{X. Li} et al., J. Comput. Phys. 195, No. 2, 773--789 (2004; Zbl 1083.65106) Full Text: DOI
Cliffe, K. A.; Tavener, S. J. Marangoni-Bénard convection with a deformable free surface. (English) Zbl 0924.76101 J. Comput. Phys. 145, No. 1, 193-227 (1998). MSC: 76R05 76M10 76E15 76D45 80A20 PDFBibTeX XMLCite \textit{K. A. Cliffe} and \textit{S. J. Tavener}, J. Comput. Phys. 145, No. 1, 193--227 (1998; Zbl 0924.76101) Full Text: DOI
Arge, Erlend; Kunoth, Angela An efficient ADI-solver for scattered data problems with global smoothing. (English) Zbl 0907.65060 J. Comput. Phys. 139, No. 2, 343-358 (1998). Reviewer: E.D’yakonov (Moskva) MSC: 65K10 49J20 49M25 65F10 PDFBibTeX XMLCite \textit{E. Arge} and \textit{A. Kunoth}, J. Comput. Phys. 139, No. 2, 343--358 (1998; Zbl 0907.65060) Full Text: DOI
Lyard, F.; Genco, M. L. Optimisation methods for bathymetry and open boundary conditions in a finite element model of ocean tides. (English) Zbl 0810.76038 J. Comput. Phys. 114, No. 2, 234-256 (1994). MSC: 76M10 76B15 86A05 PDFBibTeX XMLCite \textit{F. Lyard} and \textit{M. L. Genco}, J. Comput. Phys. 114, No. 2, 234--256 (1994; Zbl 0810.76038) Full Text: DOI
Li, Zi-Cai; Mathon, Rudolf Boundary approximation methods for solving elliptic problems on unbounded domains. (English) Zbl 0704.65076 J. Comput. Phys. 89, No. 2, 414-431 (1990). Reviewer: U.Langer MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{Z.-C. Li} and \textit{R. Mathon}, J. Comput. Phys. 89, No. 2, 414--431 (1990; Zbl 0704.65076) Full Text: DOI
Canuto, Claudio; Quarteroni, Alfio Preconditioned minimal residual methods for Chebyshev spectral calculations. (English) Zbl 0615.65118 J. Comput. Phys. 60, 315-337 (1985). Reviewer: O.Widlund MSC: 65N35 65F10 35J25 65N22 65N30 65F35 PDFBibTeX XMLCite \textit{C. Canuto} and \textit{A. Quarteroni}, J. Comput. Phys. 60, 315--337 (1985; Zbl 0615.65118) Full Text: DOI
Zang, Thomas A.; Wong, Yau Shu; Hussaini, M. Y. Spectral multigrid methods for elliptic equations. (English) Zbl 0496.65061 J. Comput. Phys. 48, 485-501 (1982). MSC: 65N35 65F10 35J25 PDFBibTeX XMLCite \textit{T. A. Zang} et al., J. Comput. Phys. 48, 485--501 (1982; Zbl 0496.65061) Full Text: DOI Link
Haussling, H. J.; Coleman, R. M. A method for generation of orthogonal and nearly orthogonal boundary- fitted coordinate systems. (English) Zbl 0466.65019 J. Comput. Phys. 43, 373-381 (1981). MSC: 65D99 65Z05 35J05 65N30 PDFBibTeX XMLCite \textit{H. J. Haussling} and \textit{R. M. Coleman}, J. Comput. Phys. 43, 373--381 (1981; Zbl 0466.65019) Full Text: DOI
Fix, G. J.; Gulati, S.; Wakoff, G. I. On the use of singular functions with finite element approximations. (English) Zbl 0273.35004 J. Comput. Phys. 13, 209-228 (1973). MSC: 35A35 41A15 35J25 65N06 PDFBibTeX XMLCite \textit{G. J. Fix} et al., J. Comput. Phys. 13, 209--228 (1973; Zbl 0273.35004) Full Text: DOI