Dawson, Clint N.Du, Qiang2018-06-182018-06-181990-10Dawson, Clint N. and Du, Qiang. "A Domain Decomposition Method for Parabolic Equations Based on Finite Elements." (1990) <a href="https://hdl.handle.net/1911/101689">https://hdl.handle.net/1911/101689</a>.https://hdl.handle.net/1911/101689A domain decomposition procedure for solving parabolic partial differential equations is presented. In this scheme, a Galerkin finite element discretization on a rectangular mesh is used. Boundary values at subdomain interfaces are calculated by an implicit/explicit procedure. This solution serves as boundary data for fully implicit subdomain problems, which can be solved simultaneously. Thus, the scheme is non-iterative, and requires non-overlapping subdomains. Numerical results are presented for problems in two space dimensions.13 ppengTechnical reportTR90-25