Mimetic discretizations bibliography
Key words:
Mimetic discretizations, numerical methods, numerical solution of
partial differential equations, discrete Hodge operator, constitutive
relations, discrete Hodge star operator, mixed methods, factorization
of numerical discretizations, adjointness, mimetic discretizations,
Whitney forms, Whitney elements, discrete conservation laws, numerical
solution of the diffusion equation, numerical solution of Maxwell's
equations, numerical solution of the Poisson equation, Yee scheme,
Support Operator Method, Finite Integration Theory, mixed Finite
Element Methods, Exact Finite Volume Difference Method, exterior
differential operators, gradient, divergence, curl, adjoint operators,
Stokes' Theorem, Potential Theorem, Divergence Theorem, Green's
Theorem, discrete Hodge-Helmholtz decomposition, summation by parts
formula, exact sequences, deRham cohomology, chains, CW complexes,
cochains, Tonti diagrams, dual grids, natural projections, Whitney
map, deRham map.
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Work supported by NSERC (Canada National Science and Engineering
Research Council) grants OGP0008781 and OGP0036901.
