Web10 apr. 2024 · We consider the computation of the transmission eigenvalue problem based on a boundary integral formulation. The problem is formulated as the eigenvalue problem of a holomorphic Fredholm operator function. A Fourier–Galerkin method is proposed for the integral equations. The approximation properties of the associated discrete … Web11 apr. 2024 · Download a PDF of the paper titled A Kernel-free Boundary Integral Method for the Bidomain Equations, by Xindan Gao and 3 other authors Download PDF Abstract: …
A Kernel-free Boundary Integral Method for Elliptic Boundary …
WebThis paper presents a fourth-order kernel-free boundary integral method for the time-dependent, incompressible Stokes and Navier-Stokes equations defined on irregular bounded domains. By the stream function-vorticity formulation, the incompressible flow equations are interpreted as vorticity evolution equations. Web1 dec. 2007 · This paper presents a class of kernel-free boundary integral (KFBI) methods for general elliptic boundary value problems (BVPs). The boundary integral equations reformulated from the BVPs are solved iteratively with the … craig massee rentals milledgeville ga
A Fourth-Order Kernel-Free Boundary Integral Method for the …
Web15 dec. 2024 · A novel numerical method is presented to solve the general elliptic interface problem with piecewise constant diffusion coefficients. To overcome the difficulties caused by piecewise constant diffusion coefficients, a combination of the kernel-free boundary integral (KFBI) method and the unfitted mesh-based hybridizable discontinuous … Web5 jul. 2024 · This work proposes second-order and fourth-order versions of a Cartesian grid based kernel-free boundary integral (KFBI) method for the biharmonic equation on … Web16 feb. 2024 · DOI: 10.2139/ssrn.4353542 Corpus ID: 256785983; Kernel-free boundary integral method for two-phase Stokes equations with discontinuous viscosity on staggered grids @article{Dong2024KernelfreeBI, title={Kernel-free boundary integral method for two-phase Stokes equations with discontinuous viscosity on staggered grids}, … diy children\\u0027s picnic table plans