Research graph
References from H-RBFs collocation method for solving the Helmholtz equation with variable coefficients. Local targets link to admitted publications; unresolved targets remain external evidence.
Numerical solution of two-dimensional mixed problems with variable coefficients by the boundary-domain integral and integro-differential equation methods
10.1016/j.enganabound.2011.06.004 · 2011 · External reference
Boundary-domain integral equations for variable-coefficient Helmholtz BVPs in 2D
10.1007/s10958-024-06993-6 · 2024 · External reference
A two point boundary value problem with a rapidly oscillating solution
10.1007/bf01395880 · 1988 · External reference
A new eighth-order implicit finite difference method to solve the three-dimensional Helmholtz equation
10.1016/j.camwa.2020.06.011 · 2020 · External reference
Hierarchical bases and the finite element method
10.1017/s0962492900002610 · 1996 · External reference
The hierarchical basis multigrid method
10.1007/bf01462238 · 1988 · External reference
On multilevel RBF collocation to solve nonlinear PDEs arising from endogenous stochastic volatility models
10.1016/j.cnsns.2017.11.003 · 2018 · External reference
Efficient implementation of high-order finite elements for Helmholtz problems
10.1002/nme.5172 · 2016 · External reference
Method of fundamental solutions for a conductivity problem
10.1080/27690911.2025.2602474 · 2025 · External reference
A nonlinear discretization theory
10.1016/j.cam.2013.03.029 · 2013 · External reference
A nonlinear discretization theory for meshfree collocation methods applied to quasilinear elliptic equations
10.1002/zamm.201800170 · 2020 · External reference
10.1007/978-3-319-51954-8_6
10.1007/978-3-319-51954-8_6 · External reference
Fast solution for solving the modified Helmholtz equation withthe method of fundamental solutions
10.4208/cicp.181113.241014a · 2015 · External reference
Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains
10.1007/s10444-016-9458-z · 2016 · External reference
H2−convergence of lest-squares kernel collocation methods
10.1137/16m1072863 · 2018 · External reference
A novel coupled meshless model for simulation of acoustic wave propagation in infinite domain containing multiple heterogeneous media
2023 · External reference
A fourth-order optimal finite difference scheme for the Helmholtz equation with PML
10.1016/j.camwa.2019.05.004 · 2019 · External reference
A generalized optimal fourth-order finite difference scheme for a 2D Helmholtz equation with the perfectly matched layer boundary condition
10.1016/j.cam.2021.113544 · 2021 · External reference
Numerical solution of Helmholtz equation by the modified Hopfield finite difference techniques
10.1002/num.20366 · 2009 · External reference
Multilevel RBF collocation method for the fourth-order thin plate problem
10.1142/s0219691320500794 · 2021 · External reference
A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations
10.1137/s1064827501357190 · 2001 · External reference
A novel multigrid based preconditioner for heterogeneous Helmholtz problems
10.1137/040615195 · 2006 · External reference
A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems
10.1007/pl00005389 · 2000 · External reference
Unresolved reference
External reference
Multistep scattered data interpolation using compactly supported radial basis functions
10.1016/0377-0427(96)00035-0 · 1996 · External reference
10.1007/978-3-642-35275-1_24
10.1007/978-3-642-35275-1_24 · External reference
Compactly supported correlation functions
10.1006/jmva.2001.2056 · 2002 · External reference
Stability and finite element error analysis for the Helmholtz equation with variable coefficients
10.1090/mcom/3457 · 2020 · External reference
The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances
10.1016/j.jde.2018.08.048 · 2019 · External reference
Finite element methods for the Helmholtz equation in an exterior domain: model problems
10.1016/0045-7825(91)90146-w · 1991 · External reference
Finite element solution of the Helmholtz equation with high wave number part I: the h-version of the FEM
10.1016/0898-1221(95)00144-n · 1995 · External reference
Multiquadrics-a scattered data approximation scheme with applications to computational fluid-dynamics-I surface approximations and partial derivative estimates
10.1016/0898-1221(90)90270-t · 1990 · External reference
Multiquadrics-a scattered data approximation scheme with applications to computational fluid-dynamics-II solutions to parabolic, hyperbolic and elliptic partial differential equations
10.1016/0898-1221(90)90271-k · 1990 · External reference
Multigrid simulation for high-frequency solutions of the Helmholtz problem in heterogeneous media
10.1137/s1064827501385426 · 2002 · External reference
Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients
10.1016/j.camwa.2022.03.007 · 2022 · External reference
A domain decomposition method for the Helmholtz equation in a multilayer domain
10.1137/s1064827597325323 · 1999 · External reference
An investigation of global radial basis function collocation methods applied to Helmholtz problems
2020 · External reference
Hierarchical radial basis functions method for the coupling of Stokes and Darcy flow
10.1007/s00366-025-02157-5 · 2025 · External reference
A comparative study of several classes of meshfree methods for solving the Helmholtz equation
2024 · External reference
A multiscale RBF collocation method for the numerical solution of partial differential equations
2019 · External reference
L2 error estimates of unsymmetric RBF collocation for second order quasilinear elliptic equations
2023 · External reference
Meshfree methods for the Helmholtz equation with variable wave speed
2025 · External reference
A self-regularized scheme for solving Helmholtz problems using the boundary element direct integration technique with radial basis functions
10.1016/j.enganabound.2020.05.011 · 2020 · External reference
Radial basis function-generated finite differences with Bessel weights for the 2D Helmholtz equation
10.1016/j.enganabound.2019.04.026 · 2019 · External reference
On multilevel RBF collocation based on operator Newton iteration to solve nonlinear Black-Scholes equations
10.1007/s40995-021-01259-1 · 2022 · External reference
A new 9-point sixth-order accurate compact finite-difference method for the Helmholtz equation
10.1016/j.jsv.2007.06.070 · 2007 · External reference
Numerical solution of the boundary value problem of elliptic equation by Levi function scheme
10.1002/num.23142 · 2024 · External reference
Stability estimate for the Helmholtz equation with rapidly jumping coefficients
10.1007/s00033-018-1031-9 · 2018 · External reference
Error estimates and condition number for radial basis function interpolation
10.1007/bf02432002 · 1995 · External reference
Convergence of unsymmetric kernel-based meshless collocation methods
10.1137/050633366 · 2007 · External reference
High-order finite difference methods for the Helmholtz equation
10.1016/s0045-7825(98)00023-1 · 1998 · External reference
Dual system least squares finite element method for the Helmholtz equation
10.1016/j.rinam.2020.100138 · 2021 · External reference
A rapidly converging domain decomposition method for the Helmholtz equation
10.1016/j.jcp.2013.01.039 · 2013 · External reference
A multigrid method for the Helmholtz equation with optimized coarse grid corrections
10.1137/13092349x · 2014 · External reference
The generalized finite element method for Helmholtz equation: theory, computation, and open problems
10.1016/j.cma.2005.09.019 · 2006 · External reference
Local knot method for solving inverse Cauchy problems of Helmholtz equations on complicated two- and three- dimensional domains
10.1002/nme.7061 · 2022 · External reference
Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains
10.1016/j.enganabound.2021.04.020 · 2021 · External reference
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
10.1007/bf02123482 · 1995 · External reference
Meshless Galerkin methods using radial basis functions
10.1090/s0025-5718-99-01102-3 · 1999 · External reference
Hermite-Birkhoff interpolation of scattered data by radial basis functions
1992 · External reference
Compactly supported positive definite radial functions
10.1007/bf03177517 · 1995 · External reference
Scattered data interpolation and approximation with truncated exponential radial basis function
2019 · External reference
A Kernel-free boundary integral method for variable coefficients elliptic PDEs
10.4208/cicp.170313.071113s · 2014 · External reference
Hierarchical bases give conjugate gradient type methods a multigrid speed of convergence
10.1016/0096-3003(86)90113-x · 1986 · External reference
On the multi-level splitting of finite element spaces
10.1007/bf01389538 · 1986 · External reference
On the multi-level splitting of finite element spaces for indefinite elliptic boundary value problems
10.1137/0723037 · 1986 · External reference
Efficient implementation of high-order finite elements for Helmholtz problems
10.1002/nme.5172 · ExternalCitation · doi-reference
Local knot method for solving inverse Cauchy problems of Helmholtz equations on complicated two- and three- dimensional domains
10.1002/nme.7061 · ExternalCitation · doi-reference
Numerical solution of Helmholtz equation by the modified Hopfield finite difference techniques
10.1002/num.20366 · ExternalCitation · doi-reference
Numerical solution of the boundary value problem of elliptic equation by Levi function scheme
10.1002/num.23142 · ExternalCitation · doi-reference
A nonlinear discretization theory for meshfree collocation methods applied to quasilinear elliptic equations
10.1002/zamm.201800170 · ExternalCitation · doi-reference
Compactly supported correlation functions
10.1006/jmva.2001.2056 · ExternalCitation · doi-reference
10.1007/978-3-319-51954-8_6
10.1007/978-3-319-51954-8_6 · ExternalCitation · doi-reference
10.1007/978-3-642-35275-1_24
10.1007/978-3-642-35275-1_24 · ExternalCitation · doi-reference
On the multi-level splitting of finite element spaces
10.1007/bf01389538 · ExternalCitation · doi-reference
A two point boundary value problem with a rapidly oscillating solution
10.1007/bf01395880 · ExternalCitation · doi-reference
The hierarchical basis multigrid method
10.1007/bf01462238 · ExternalCitation · doi-reference
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
10.1007/bf02123482 · ExternalCitation · doi-reference
Error estimates and condition number for radial basis function interpolation
10.1007/bf02432002 · ExternalCitation · doi-reference
Compactly supported positive definite radial functions
10.1007/bf03177517 · ExternalCitation · doi-reference
A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems
10.1007/pl00005389 · ExternalCitation · doi-reference
Stability estimate for the Helmholtz equation with rapidly jumping coefficients
10.1007/s00033-018-1031-9 · ExternalCitation · doi-reference
Hierarchical radial basis functions method for the coupling of Stokes and Darcy flow
10.1007/s00366-025-02157-5 · ExternalCitation · doi-reference
Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains
10.1007/s10444-016-9458-z · ExternalCitation · doi-reference
Boundary-domain integral equations for variable-coefficient Helmholtz BVPs in 2D
10.1007/s10958-024-06993-6 · ExternalCitation · doi-reference
On multilevel RBF collocation based on operator Newton iteration to solve nonlinear Black-Scholes equations
10.1007/s40995-021-01259-1 · ExternalCitation · doi-reference
Finite element methods for the Helmholtz equation in an exterior domain: model problems
10.1016/0045-7825(91)90146-w · ExternalCitation · doi-reference
Hierarchical bases give conjugate gradient type methods a multigrid speed of convergence
10.1016/0096-3003(86)90113-x · ExternalCitation · doi-reference
Multistep scattered data interpolation using compactly supported radial basis functions
10.1016/0377-0427(96)00035-0 · ExternalCitation · doi-reference
Multiquadrics-a scattered data approximation scheme with applications to computational fluid-dynamics-I surface approximations and partial derivative estimates
10.1016/0898-1221(90)90270-t · ExternalCitation · doi-reference
Multiquadrics-a scattered data approximation scheme with applications to computational fluid-dynamics-II solutions to parabolic, hyperbolic and elliptic partial differential equations
10.1016/0898-1221(90)90271-k · ExternalCitation · doi-reference
Finite element solution of the Helmholtz equation with high wave number part I: the h-version of the FEM
10.1016/0898-1221(95)00144-n · ExternalCitation · doi-reference
A nonlinear discretization theory
10.1016/j.cam.2013.03.029 · ExternalCitation · doi-reference
A generalized optimal fourth-order finite difference scheme for a 2D Helmholtz equation with the perfectly matched layer boundary condition
10.1016/j.cam.2021.113544 · ExternalCitation · doi-reference
A fourth-order optimal finite difference scheme for the Helmholtz equation with PML
10.1016/j.camwa.2019.05.004 · ExternalCitation · doi-reference
A new eighth-order implicit finite difference method to solve the three-dimensional Helmholtz equation
10.1016/j.camwa.2020.06.011 · ExternalCitation · doi-reference
Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients
10.1016/j.camwa.2022.03.007 · ExternalCitation · doi-reference
The generalized finite element method for Helmholtz equation: theory, computation, and open problems
10.1016/j.cma.2005.09.019 · ExternalCitation · doi-reference
On multilevel RBF collocation to solve nonlinear PDEs arising from endogenous stochastic volatility models
10.1016/j.cnsns.2017.11.003 · ExternalCitation · doi-reference
Numerical solution of two-dimensional mixed problems with variable coefficients by the boundary-domain integral and integro-differential equation methods
10.1016/j.enganabound.2011.06.004 · ExternalCitation · doi-reference
Radial basis function-generated finite differences with Bessel weights for the 2D Helmholtz equation
10.1016/j.enganabound.2019.04.026 · ExternalCitation · doi-reference
A self-regularized scheme for solving Helmholtz problems using the boundary element direct integration technique with radial basis functions
10.1016/j.enganabound.2020.05.011 · ExternalCitation · doi-reference
Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains
10.1016/j.enganabound.2021.04.020 · ExternalCitation · doi-reference
A rapidly converging domain decomposition method for the Helmholtz equation
10.1016/j.jcp.2013.01.039 · ExternalCitation · doi-reference
The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances
10.1016/j.jde.2018.08.048 · ExternalCitation · doi-reference
A new 9-point sixth-order accurate compact finite-difference method for the Helmholtz equation
10.1016/j.jsv.2007.06.070 · ExternalCitation · doi-reference
Dual system least squares finite element method for the Helmholtz equation
10.1016/j.rinam.2020.100138 · ExternalCitation · doi-reference
High-order finite difference methods for the Helmholtz equation
10.1016/s0045-7825(98)00023-1 · ExternalCitation · doi-reference
Hierarchical bases and the finite element method
10.1017/s0962492900002610 · ExternalCitation · doi-reference
Method of fundamental solutions for a conductivity problem
10.1080/27690911.2025.2602474 · ExternalCitation · doi-reference
Stability and finite element error analysis for the Helmholtz equation with variable coefficients
10.1090/mcom/3457 · ExternalCitation · doi-reference
Meshless Galerkin methods using radial basis functions
10.1090/s0025-5718-99-01102-3 · ExternalCitation · doi-reference
A novel multigrid based preconditioner for heterogeneous Helmholtz problems
10.1137/040615195 · ExternalCitation · doi-reference
Convergence of unsymmetric kernel-based meshless collocation methods
10.1137/050633366 · ExternalCitation · doi-reference
On the multi-level splitting of finite element spaces for indefinite elliptic boundary value problems
10.1137/0723037 · ExternalCitation · doi-reference
A multigrid method for the Helmholtz equation with optimized coarse grid corrections
10.1137/13092349x · ExternalCitation · doi-reference
H2−convergence of lest-squares kernel collocation methods
10.1137/16m1072863 · ExternalCitation · doi-reference
A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations
10.1137/s1064827501357190 · ExternalCitation · doi-reference
Multigrid simulation for high-frequency solutions of the Helmholtz problem in heterogeneous media
10.1137/s1064827501385426 · ExternalCitation · doi-reference
A domain decomposition method for the Helmholtz equation in a multilayer domain
10.1137/s1064827597325323 · ExternalCitation · doi-reference
Multilevel RBF collocation method for the fourth-order thin plate problem
10.1142/s0219691320500794 · ExternalCitation · doi-reference
A Kernel-free boundary integral method for variable coefficients elliptic PDEs
10.4208/cicp.170313.071113s · ExternalCitation · doi-reference
Fast solution for solving the modified Helmholtz equation withthe method of fundamental solutions
10.4208/cicp.181113.241014a · ExternalCitation · doi-reference
