An inference-finite element model for field problems

3d Adaptive Finite Element Method for a Phase Field Model for the Moving Contact Line Problems

In this paper, we propose an adaptive finite element method for simulating the moving contact line problems in three dimensions. The model that we used is the coupled Cahn-Hilliard Navier-Stokes equations with the generalized Navier boundary condition(GNBC) proposed in [1]. In our algorithm, to improve the efficiency of the simulation, we use the residual type adaptive finite element algorithm....

The Finite Volume, Finite Element, and Finite Difference Methods as Numerical Methods for Physical Field Problems

II. Foundations 5 A. The Mathematical Structure of Physical Field Theories . . . 5 B. Geometric Objects and Orientation . . . . . . . . . . . . . 7 C. Physical Laws and Physical Quantities . . . . . . . . . . . . 15 D. Classification of Physical Quantities . . . . . . . . . . . . . 21 E. Topological Laws . . . . . . . . . . . . . . . . . . . . . . . 26 F. Constitutive Relations . . . . . . . . ...

New Methods for Finite Element Model Updating Problems

We consider two finite element model updating problems, which incorporate the measured modal data into the analytical finite element model, producing an adjusted model on the (mass) damping and stiffness, that closely matches the experimental modal data. We develop two efficient numerical algorithms for solving these problems. The new algorithms are direct methods that require O(nk2) and O(nk2 ...

Adaptive Finite Element Methods for Multiphysics Problems Adaptive Finite Element Methods for Multiphysics Problems

In this thesis we develop and evaluate the performance of adaptive finite element methods for multiphysics problems. In particular, we propose a methodology for deriving computable error estimates when solving unidirectionally coupled multiphysics problems using segregated finite element solvers. The error estimates are of a posteriori type and are derived using the standard framework of dual w...

An Adaptive Finite Element Method for Nonlinear Optimal Control Problems