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Numerical safeguarded use of the implicit restarted Lanczos algorithm for solving nonlinear eigenvalue problems and its monotonicity analysis
In this thesis, we develop an efficient accurate numerical algorithm for evaluating a few of the smallest eigenvalues and their corresponding eigenvectors for large scale nonlinear eigenproblems. The entries of the matrices ...
Object-oriented implementation of p-adaptive finite element method
A finite element analysis methodology employing p-adaptivity is proposed. Object-oriented design and methodologies are used to implement the finite element package. The p-refinement phase is facilitated through the addition ...
Experimental investigation for constitutive modeling of fine sand under cyclic loading using hollow cylinder specimens
An experimental program for the understanding of the behavior of fine cohesionless soil under monotonic and cyclic loading and for the development and refinement of constitutive models has been undertaken. An experimental ...
The use of optimization techniques in the solution of partial differential equations from science and engineering
Optimal Control of systems governed by Partial Differential Equations is an applications-driven area of mathematics involving the formulation and solution of minimization problems. Given a physical phenomenon described by ...