High Order Mimetic Finite Differences on Non-Trivial Problems
AB Velazco - 2021 - search.proquest.com
AB Velazco
2021•search.proquest.comMimetic finite-differences (MFD) are discrete analogs of the differential operators used to
describe continuum problems, with successful implementations in the fields of fluid and solid
mechanics. Recent developments have focused on employing MFD to solve challenging
problems by targeting partial differential equations (PDEs) with rough coefficients, jump
discontinuities, and highly nonlinear problems. However, the use of MFD on complex
geometries has not been studied in detail.
describe continuum problems, with successful implementations in the fields of fluid and solid
mechanics. Recent developments have focused on employing MFD to solve challenging
problems by targeting partial differential equations (PDEs) with rough coefficients, jump
discontinuities, and highly nonlinear problems. However, the use of MFD on complex
geometries has not been studied in detail.
Abstract
Mimetic finite-differences (MFD) are discrete analogs of the differential operators used to describe continuum problems, with successful implementations in the fields of fluid and solid mechanics. Recent developments have focused on employing MFD to solve challenging problems by targeting partial differential equations (PDEs) with rough coefficients, jump discontinuities, and highly nonlinear problems. However, the use of MFD on complex geometries has not been studied in detail.
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