Advanced P D E and Finite Element Method

Distribution Theory: Introduction, Topology of test functions, Convolutions, Schwartz space, Tempered distributions, Fourier transform; Sobolev Spaces: Definitions, Extension operators, Continuous and compact imbeddings, Trace results; Weak Solutions: Variational formuation of elliptic boundary-value problems, Weak solutions, Maximum Principle, Regularity results; Finite Element Method (FEM): Introduction to FEM, Finite element solution of elliptic boundary-value problems.   Recommended books

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