Kernel-based meshless collocation methods for solving coupled bulk-surface partial differential equations

DOI10.1007/s10915-019-01020-2zbMath1462.65209OpenAlexW2965938582MaRDI QIDQ2333703

Yanyan Li

Publication date: 13 November 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-019-01020-2

zbMATH Keywords

error estimatemeshless collocation methodscoupled bulk-surface PDEssmoothness orders of global and restricted kernels

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Multidimensional problems (41A63) Algorithms for approximation of functions (65D15)

Related Items (3)

A convergent iterated quasi-interpolation for periodic domain and its applications to surface PDEs ⋮ Virtual element method for elliptic bulk‐surface PDEs in three space dimensions ⋮ The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

Cites Work

• Cut finite element methods for coupled bulk-surface problems
• The orthogonal gradients method: a radial basis functions method for solving partial differential equations on arbitrary surfaces
• Level set equations on surfaces via the closest point method
• Approximation power of RBFs and their associated SBFs: a connection
• Spatial variation. 2nd ed
• Error estimates for interpolation by compactly supported radial basis functions of minimal degree
• \(L^ p\)-approach to mixed boundary value problems for second-order elliptic operators
• A simple embedding method for solving partial differential equations on surfaces
• Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates
• The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces
• Analysis of the Diffuse Domain Approach for a Bulk-Surface Coupled PDE System
• Meshless Collocation: Error Estimates with Application to Dynamical Systems
• A Kernel-Based Embedding Method and Convergence Analysis for Surfaces PDEs
• $H^2$-Convergence of Least-Squares Kernel Collocation Methods
• Calculus on Surfaces with General Closest Point Functions
• Finite element analysis for a coupled bulk-surface partial differential equation
• Unnamed Item

This page was built for publication: Kernel-based meshless collocation methods for solving coupled bulk-surface partial differential equations