A5031451887- Advanced Numerical Methods in Computational Mathematics
- Advanced Numerical Analysis Techniques
- Numerical methods in engineering
- Computational Fluid Dynamics and Aerodynamics
- Fluid Dynamics and Turbulent Flows
- Advanced Mathematical Modeling in Engineering
- Computational Geometry and Mesh Generation
- Electromagnetic Simulation and Numerical Methods
- Lattice Boltzmann Simulation Studies
- Composite Structure Analysis and Optimization
- Numerical methods for differential equations
- Elasticity and Material Modeling
- Ionosphere and magnetosphere dynamics
- Mathematical Biology Tumor Growth
- Computer Graphics and Visualization Techniques
- Polynomial and algebraic computation
- Geomagnetism and Paleomagnetism Studies
- Solar and Space Plasma Dynamics
- 3D Shape Modeling and Analysis
- Vibration and Dynamic Analysis
- Tribology and Lubrication Engineering
- Model Reduction and Neural Networks
- Dynamics and Control of Mechanical Systems
- Fluid Dynamics and Vibration Analysis
- Cryospheric studies and observations
The University of Texas at Austin
2015-2024
Bangor University
2024
National University of the Littoral
2017-2023
California Institute of Technology
1977-2022
Northwestern University
2022
Universidade Federal do Rio de Janeiro
2022
Technion – Israel Institute of Technology
2022
The University of Tokyo
2022
University of California, San Diego
2022
UNSW Sydney
2022
[Preface] This book treats parts of the mathematical foundations three-dimensional elasticity using modern differential geometry and functional analysis. It is intended for mathematicians, engineers, physicists who wish to see this classical subject in a setting some examples what newer tools have contribute.
Abstract A new family of unconditionally stable one‐step methods for the direct integration equations structural dynamics is introduced and shown to possess improved algorithmic damping properties which can be continuously controlled. The are compared with members Newmark family, Houbolt Wilson methods.
An approach is developed for deriving variational methods capable of representing multiscale phenomena. The ideas are first illustrated on the exterior problem Helmholtz equation. This leads to well-known Dirichlet-to-Neumann formulation. Next, a class subgrid scale models and relationships ‘bubble function’ stabilized established. It shown that both latter approximate models. identification an analytical formula τ, ‘intrinsic time scale’, whose origins have been mystery heretofore.
We present a general treatment of the variational multiscale method in context an abstract Dirichlet problem. show how exact theory represents paradigm for subgrid-scale models and posteriori error estimation. examine hierarchical p-methods bubbles order to understand and, ultimately, approximate 'fine-scale Green's function' which appears theory. review relationships between residual-free bubbles, element functions stabilized methods. These suggest applicability methodology physically...
Preface. 1 . An Overview of Semidiscretization and Time Integration Procedures (T. Belytschko). 2 Analysis Transient Algorithms with Particular Reference to Stability Behavior (T.J.R. Hughes). 3 Partitioned Coupled Systems (K.C. Park C.A. Felippa). 4 Boundary-Element Methods for Response (T.L. Geers). 5 Dynamic Relaxation (P. Underwood). 6 Dispersion Semidiscretized Fully Discretized (H.L. Schreyer). 7 Silent Boundary (M. Cohen P.C. Jennings). 8 Explicit Lagrangian Finite-Difference (W....
Abstract A finite element formulation which includes the piezoelectric or electroelastic effect is given. strong analogy exhibited between electric and elastic variables, a ‘stiffness’ method deduced. The dynamical matrix equation of electroelasticity formulated found to be reducible in form well‐known structural dynamics, tetrahedral presented, implementing theorem for application problems three‐dimensional electroelasticity.
Abstract A new finite element procedure is introduced for the analysis of nearly‐incompressible media. The approach may be simply implemented by a small change standard technique, and applicable to arbitrary anisotropic and/or nonlinear shown specialize selective integration mean‐dilatation formulations under appropriate hypothesis.
Abstract An improved algorithm is presented for integrating rate constitutive equations in large‐deformation analysis. The shown to be ‘objective’ with respect large rotation increments.