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A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
oundary integral equations Nystrom discretization Singular integrals Nearly singular integrals Fast solvers Laplace equation Stokes equation Navier equation Fast multipole method Fast Fourier transform
2015/7/14
We present a high-order boundary integral equation solver for 3D elliptic boundary value problems on domains with smooth boundaries. We use Nystro ¨m’s method for discretization, and combine it with s...
Preconditioned modified explicit decoupled group method in the solution of elliptic PDEs
Preconditioning method Modified Explicit Decoupled Group method
2010/9/21
Many physical phenomena in static field problems particularly in the electromagnetic field and the incompressible potential flow field are described by elliptic partial differential equations (pdes). ...
Non-local PDEs with discrete state-dependent delays: well-posedness in a metric space
Non-local PDEs discrete state-dependent delays metric space
2010/11/17
Partial differential equations with discrete (concentrated) state-dependent delays are studied. The existence and uniqueness of solutions with initial data from a wider linear space is proven first a...
PDEs-based method for image enhancement
Complex diffusion Denoising Partial differential equation
2010/9/10
Removing noise from data is often the first step in data analysis. De-noising technique should not be only reduce the noise, but do so without blurring or changing the location of the edges. Many appr...