An Unfitted dG Scheme for Coupled Bulk-Surface PDEs on Complex Geometries
نویسندگان
چکیده
منابع مشابه
Multidomain Local Fourier Method for PDEs in Complex Geometries
but with higher frequencies and amplitudes of the oscillating components), only a low accuracy can be achieved after an aaordable number of PCG iterations. The reason is that a strip-wise domain decomposition cannot handle large changes in non-constant coeecients in the lengthwise direction (see explanation at the end of section (5.1)). More general domain decompositions in the form of rectangu...
متن کاملFast algorithms for PDEs in simple and complex geometries
We review some fast and accurate numerical techniques for solving elliptic equations in complicated domains developed by the author and his colleagues in recent past. These are based on a combination of fast algorithms for regular domains and various domain embedding techniques. The fast algorithms for regular domains are derived from analysis of integral equation approach for solving elliptic ...
متن کاملUnfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations
In this paper, we define new unfitted finite element methods for numerically approximating the solution of surface partial differential equations using bulk finite elements. The key idea is that the n-dimensional hypersurface, Γ ⊂ Rn+1, is embedded in a polyhedral domain in Rn+1 consisting of a union, Th, of (n+ 1)-simplices. The unifying feature of the methodological approach is that the finit...
متن کاملAn Unfitted Discontinuous Galerkin Scheme for Conservation Laws on Evolving Surfaces∗
Motivated by considering partial differential equations arising from conservation laws posed on evolving surfaces, a new numerical method for an advection problem is developed and simple numerical tests are performed. The method is based on an unfitted discontinuous Galerkin approach where the surface is not explicitly tracked by the mesh which means the method is extremely flexible with respec...
متن کاملA conservative scheme for solving coupled surface-bulk convection-diffusion equations with an application to interfacial flows with soluble surfactant
Article history: Received 29 November 2011 Received in revised form 17 August 2013 Accepted 3 October 2013 Available online 10 October 2013
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computational Methods in Applied Mathematics
سال: 2021
ISSN: 1609-9389,1609-4840
DOI: 10.1515/cmam-2020-0056