A parallel structure transient response algorithm using independent substructure response computation

An algorithm for parallel computation of transient response for structures is presented in which responses of substructures are computed independently for dozens of time steps at a time, and these substructure responses are then corrected to obtain the response of the overall coupled structure. The correction of the uncoupled substructure responses only requires the responses computed for interfaces at occasional points in time, and is done independently for different substructures in a very efficient procedure. A numerical example is presented to demonstrate the method and show the accuracy of the method

An Automated Multilevel Substructuring Method for Eigenspace Computation in Linear Elastodynamics

We present an automated multilevel substructuring (AMLS) method for eigenvalue computations in linear elastodynamics in a variational and algebraic setting. AMLS first recursively partitions the domain of the PDE into a hierarchy of subdomains. Then AMLS recursively generates a subspace for approximating the eigenvectors associated with the smallest eigenvalues by computing partial eigensolutions associated with the subdomains and the interfaces between them. We remark that although we present AMLS for linear elastodynamics, our formulation is abstract and applies -elliptic bilinear forms

Raul G. LongoriaHybrid Particle-Element Method for a General Hexahedral Mesh

and to my FamilyAcknowledgments First of all, I thank God for given me the strength to walk in this journey. I express my most sincere gratitude to my advisor, Dr. Eric P. Fahrenthold, his guidance, patience, understanding and encouragement throughout this work have been tremendous. I also thank the members of my committee