ABSTRACT: In shape optimization, we often seek to optimize the shape of a domain in order to achieve a goal. For example, the sound of a drum depends on the shape of its membrane, via the eigenvalues ...
It is often desired to solve eigenvalue problems of the type (A - &lgr;1)C = 0 or (A - &lgr;B)C = 0 repeatedly for similar values of the matrix elements Aij, where A and B are Hermitean or real ...
The formulations of the boundary element method for dynamic problems, whether acoustic or elastodynamic, that use a more straightforward fundamental solution and consequently require the use of Radial ...
Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...
Elizabeth Orchard is a Toronto-based content writer, copy editor, and lifelong gamer. She's been playing visual novels and farming sims since she was ten years old, graduating into a hardcore love of ...
We present a new power method to obtain solutions of eigenvalue problems. The method can determine not only the dominant or lowest eigenvalues but also all eigenvalues without the need for a deflation ...
We could have aux kernels, postprocessors, user objects evaluated on linear. If we do not call a full residual evaluation at the end of the solve, the values of those objects will not be up to date ...
The University at Buffalo Department of Mathematics is pleased to announce that Julia Shapiro, winner of the 2022 SUNY Chancellor's Award for Student Excellence. Shapiro will graduate with a bachelor ...
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