Direct meshless local Petrov-Galerkin method for the two-dimensional Klein-Gordon equation
DOI10.1016/j.enganabound.2016.10.002zbMath1403.65066OpenAlexW2530689126WikidataQ56685870 ScholiaQ56685870MaRDI QIDQ1655201
Publication date: 9 August 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2016.10.002
meshless methodsmeshless local Petrov-Galerkin methodgeneralized moving least squares approximationDMLPG technique
KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Direct meshless local Petrov-Galerkin method for elastodynamic analysis
- Meshless techniques for anisotropic diffusion
- A not-a-knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation
- Two dimensional analysis of coupled non-Fick diffusion-elastodynamics problems in functionally graded materials using meshless local Petrov-Galerkin (MLPG) method
- Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation
- A modified predictor-corrector scheme for the two-dimensional sine-Gordon equation
- Error bounds for GMLS derivatives approximations of Sobolev functions
- Numerical study of \(2+1\) dimensional sine-Gordon solitons
- Boundary element solution of the two-dimensional sine-Gordon equation using continuous linear elements
- Heat conduction analysis of 3-D axisymmetric and anisotropic FGM bodies by meshless local Petrov-Galerkin method
- Numerical solution of the sine-Gordon equation
- Finite element approximation to two-dimensional sine-Gordon solitons
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- Meshless methods: An overview and recent developments
- A meshfree formulation of local radial point interpolation method (LRPIM) for incompressible flow simulation
- A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
- The numerical solution of Cahn-Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods
- A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model
- Direct meshless local Petrov-Galerkin method for elliptic interface problems with applications in electrostatic and elastostatic
- The basis of meshless domain discretization: the meshless local Petrov-Galerkin (MLPG) method
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Numerical solutions of a damped sine-Gordon equation in two space variables
- Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation
- Two numerical meshless techniques based on radial basis functions (RBFs) and the method of generalized moving least squares (GMLS) for simulation of coupled Klein-Gordon-Schrödinger (KGS) equations
- Solving heat conduction problems by the direct meshless local Petrov-Galerkin (DMLPG) method
- A new low-cost meshfree method for two and three dimensional problems in elasticity
- The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate
- The solution of the two-dimensional sine-Gordon equation using the method of lines
- A third order numerical scheme for the two-dimensional sine-Gordon equation
- New implementation of MLBIE method for heat conduction analysis in functionally graded materials
- The numerical simulation of the phase field crystal (PFC) and modified phase field crystal (MPFC) models via global and local meshless methods
- On generalized moving least squares and diffuse derivatives
- A Meshless Method Using Radial Basis Functions for the Numerical Solution of Two-Dimensional Complex Ginzburg-Landau Equation
- Numerical Investigation on Direct MLPG for 2D and 3D Potential Problems
- On the Klein-Gordon Equation on Some Examples of Conformally Flat Spin 3-Manifolds
- MLPG Method for Transient Heat Conduction Problem with MLS as Trial Approximation in Both Time and Space Domains
- Meshless Local Petrov-Galerkin (MLPG) Method for Shear Deformable Shells Analysis
- Properties of adaptive clinical trial signature design in the presence of gene and gene-treatment interaction
- An efficient meshfree point collocation moving least squares method to solve the interface problems with nonhomogeneous jump conditions
- An improved numerical scheme for the sine-Gordon equation in 2+1 dimensions
- Surfaces Generated by Moving Least Squares Methods
- Element‐free Galerkin methods
- An explicit numerical scheme for the Sine-Gordon equation in 2+1 dimensions
- The Meshless Local Petrov–Galerkin Method in Two-Dimensional Electromagnetic Wave Analysis
- Scattered Data Approximation
This page was built for publication: Direct meshless local Petrov-Galerkin method for the two-dimensional Klein-Gordon equation