The spatially and temporally variable parameters and inputs to complex groundwater
models typically result in long runtimes which hinder comprehensive calibration, sensitivity …

The paper reviews options for structural design sensitivity analysis, including global finite
differences, continuum derivatives, discrete derivatives, and computational or automated …

The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …

Surrogate modeling has been popularized as an alternative to full-scale models in complex
engineering processes such as manufacturing and computer-assisted engineering. The …

In this article we introduce new bounds on the effective condition number of deflated and
preconditioned-deflated symmetric positive definite linear systems. For the case of a …

For various applications, it is well-known that a multi-level, in particular two-level,
preconditioned CG (PCG) method is an efficient method for solving large and sparse linear …

We consider additive Schwarz domain decomposition preconditioners for piecewise linear
finite element approximations of elliptic PDEs with highly variable coefficients. In contrast to …

Tearing and interconnecting methods, such as FETI, FETI-DP, BETI, etc., are among the
most successful domain decomposition solvers for partial differential equations. The …

Advancements in the field of high-performance scientific computing are necessary to
address the most important challenges we face in the 21st century. From physical modeling …

Solving systems of algebraic linear equations is among the most frequent problems in
scientific computing. It appears in many areas like physics, engineering, chemistry, biology …