# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
Error Due To Artificial Truncation Boundary Condition

# keywords[]
Generalized Finite Element Method (gfem)

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
Generalized Finite Element Method (gfem)

# keywords[]
Networking And Information Technology R&d

# keywords[]
Generalized Finite Element Method (gfem)

# keywords[]
Reliability Interval For The Computed Outputs

# educationAndTraining[].organization.label
The University of Texas at Austin - (Austin, Texas, United States)

# educationAndTraining[].organization.label
National Technical University of Athens - (Athens, Attiki, Greece)

# educationAndTraining[].organization.label
The University of Texas at Austin - (Austin, Texas, United States)

# publications[].label
Guaranteed a-posteriori error estimation for finite element solutions of nonstationary heat conduction problems based on their elliptic reconstructions

# publications[].publisher
Institute of Mathematics, Czech Academy of Sciences

# publications[].label
ADAPTIVE FINITE-ELEMENTS FOR FLOW PROBLEMS WITH MOVING BOUNDARIES .1. VARIATIONAL-PRINCIPLES AND A POSTERIORI ESTIMATES

# publications[].label
Model study of the quality of a posteriori error estimators for finite element solutions of linear elliptic problems, with particular reference to the behavior near the boundary

# publications[].label
Study of Superconvergence by a Computer-Based Approach: Superconvergence of the Gradient of the Displacement, The Strain and Stress in Finite Element Solutions for Plane Elasticity.

# publications[].label
Guaranteed a-posteriori error estimation for semi-discrete solutions of parabolic problems based on elliptic reconstruction

# publications[].label
ETA-PERCENT-SUPERCONVERGENCE IN THE INTERIOR OF LOCALLY REFINED MESHES OF QUADRILATERALS - SUPERCONVERGENCE OF THE GRADIENT IN FINITE-ELEMENT SOLUTIONS OF LAPLACE AND POISSON EQUATIONS

# publications[].label
The design and analysis of the generalized finite element method

# publications[].label
Validation of Recipes for the Recovery of Stresses and Derivatives by a Computer-Based Approach

# publications[].label
Guaranteed a posteriori error estimation for fully discrete solutions of parabolic problems

# publications[].label
A posteriori estimation of the error in the error estimate

# publications[].label
A model study of the quality of a Posteriori error estimators for finite element solutions of linear elliptic problems, with particular reference to the behavior near the boundary

# publications[].label
VALIDATION OF RECIPES FOR THE RECOVERY OF STRESSES AND DERIVATIVES BY A COMPUTER-BASED APPROACH

# publications[].label
Transient moisture gradients in rough rice mapped with finite element model and related to fissures after heated air drying

# publications[].label
ADAPTIVE FINITE-ELEMENT METHODS FOR HIGH-SPEED COMPRESSIBLE FLOWS

# publications[].label
The generalized finite element method: an example of its implementation and illustration of its performance

# publications[].label
A MOVING-GRID FINITE-ELEMENT ALGORITHM FOR SUPERSONIC-FLOW INTERACTION BETWEEN MOVING BODIES

# publications[].label
A MODEL STUDY OF ELEMENT RESIDUAL ESTIMATORS FOR LINEAR ELLIPTIC PROBLEMS - THE QUALITY OF THE ESTIMATORS IN THE INTERIOR OF MESHES OF TRIANGLES AND QUADRILATERALS

# publications[].label
IMPLEMENTATION OF AN ADAPTIVE REFINEMENT TECHNIQUE FOR THE SUPG ALGORITHM

# publications[].label
A-posteriori estimation of the error in the error estimate

# publications[].label
Pollution-error in the h-version of the finite-element method and the local quality of a-posteriori error estimators

# publications[].label
Study of Superconvergence by a Computer-Based Approach. Superconvergence of the Gradient in Finite Element Solutions of Laplace's and Poisson's Equations

# publications[].label
N%-Superconvergence of Finite Element Approximations in the Interior of General Meshes of Triangles

# publications[].label
A posteriori estimation of the error in the recovered derivatives of the finite element solution

# publications[].label
A posteriori estimation and adaptive control of the error in the quantity of interest. Part I: A posteriori estimation of the error in the von Mises stress and the stress intensity factor

# publications[].label
Assessment of the cost and accuracy of the generalized FEM

# publications[].label
The design and analysis of the Generalized Finite Element Method

# publications[].label
A posteriori error estimation for finite element solutions of Helmholtz' equation .1. The quality of local indicators and estimators

# publications[].label
Finite Elements An Introduction to the Method and Error Estimation

# publications[].label
An adaptive finite element strategy for complex flow problems

# publications[].publisher
American Institute of Aeronautics and Astronautics (AIAA)

# publications[].label
eta%-superconvergence of finite element solutions and error estimators

# publications[].label
Pollution Error in the h-Version of the Finite Element Method and the Local Quality of A-Posteriori Error Estimators

# publications[].label
The generalized finite element method for Helmholtz equation: Theory, computation, and open problems

# publications[].label
Computerbased proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace's, Poisson's, and the elasticity equations

# publications[].label
VALIDATION OF A-POSTERIORI ERROR ESTIMATORS BY NUMERICAL APPROACH

# publications[].label
Practical aspects of a-posteriori estimation for reliable finite element analysis

# publications[].label
How to generate local refinements of unstructured tetrahedral meshes satisfying a regularity ball condition

# publications[].label
p-version of the generalized FEM using mesh-based handbooks with applications to multiscale problems

# publications[].label
What do we want and what do we have in a posteriori estimates in the FEM

# publications[].label
Partition of unity method for Helmholtz equation: q-convergence for plane-wave and wave-band local bases

# publications[].publisher
Institute of Mathematics, Czech Academy of Sciences

# publications[].label
RECENT ADVANCES IN ERROR ESTIMATION AND ADAPTIVE IMPROVEMENT OF FINITE ELEMENT CALCULATIONS.

# publications[].label
ADAPTIVE FINITE-ELEMENT METHODS FOR THE ANALYSIS OF INVISCID COMPRESSIBLE FLOW .1. FAST REFINEMENT UNREFINEMENT AND MOVING MESH METHODS FOR UNSTRUCTURED MESHES

# publications[].label
A posteriori estimators for the FEM: Analysis of the robustness of the estimators for the Poisson equation

# publications[].label
The asymptotically optimal meshsize function for bi-p degree interpolation over rectangular elements

# publications[].label
Validation of A-Posteriori Error Estimators by Numerical Approach

# publications[].label
The generalized finite element method for Helmholtz equation. Part II: Effect of choice of handbook functions, error due to absorbing boundary conditions and its assessment

# publications[].label
Pollution Error in the h-Version of the Finite Element Method and the Local Quality of the Recovered Derivatives.

# publications[].label
Robustness of error estimators for finite element solutions of problems with high orthotropy

# publications[].label
RECENT EXPERIENCES WITH ERROR ESTIMATION AND ADAPTIVITY .2. ERROR ESTIMATION FOR H-ADAPTIVE APPROXIMATIONS ON GRIDS OF TRIANGLES AND QUADRILATERALS

# publications[].label
Guaranteed computable bounds for the exact error in the finite element solution - Part II: bounds for the energy norm of the error in two dimensions

# publications[].label
RECENT EXPERIENCES WITH ERROR ESTIMATION AND ADAPTIVITY .1. REVIEW OF ERROR ESTIMATORS FOR SCALAR ELLIPTIC PROBLEMS

# publications[].label
A-POSTERIORI ESTIMATION AND ADAPTIVE-CONTROL OF THE POLLUTION ERROR IN THE H-VERSION OF THE FINITE-ELEMENT METHOD

# publications[].label
Recent computational experiences with residual and flux-projection error estimators

# publications[].label
A posteriori error estimation for generalized finite element methods

# publications[].label
ADAPTIVE P-VERSION FINITE ELEMENT METHOD FOR TRANSIENT FLOW PROBLEMS WITH MOVING BOUNDARIES.

# publications[].label
ADAPTIVE FINITE ELEMENT METHODS FOR COMPRESSIBLE FLOW PROBLEMS.

# publications[].label
A model study of the quality of a posteriori error estimators for finite element solutions of linear elliptic problems, with particular reference to the behavior near the boundary

# publications[].label
Recent experiences with adaptive mesh optimization and a-posteriori error estimation

# publications[].label
A Model Study of Element Residual Estimators for Linear Elliptic Problems: The Quality of the Estimators in the Interior of Meshes of Triangles and Quadrilaterals

# publications[].label
ETA-PERCENT-SUPERCONVERGENCE OF FINITE-ELEMENT APPROXIMATIONS IN THE INTERIOR OF GENERAL MESHES OF TRIANGLES

# publications[].label
A MODEL STUDY OF THE QUALITY OF A-POSTERIORI ERROR ESTIMATORS FOR LINEAR ELLIPTIC PROBLEMS - ERROR ESTIMATION IN THE INTERIOR OF PATCHWISE UNIFORM GRIDS OF TRIANGLES

# publications[].label
FINITE-ELEMENT SIMULATION OF ROUGH RICE DRYING

# publications[].label
A POSTERIORI ERROR ESTIMATION OF FINITE-ELEMENT APPROXIMATIONS IN FLUID-MECHANICS

# publications[].label
Variational Principles and Adaptive Methods for Complex Flow Problems

# publications[].label
The Finite Element Method and Its Reliability

# publications[].label
Pollution error in the h-version of the finite element method and the local quality of the recovered derivatives

# publications[].label
Eta%-Superconvergence in the Interior of Locally Refined Meshes of Quadrilaterals: Superconvergence of the Gradient in Finite Element Solutions of Laplace's and Poisson's Equations

# publications[].label
Mastering Calculations in Linear and Nonlinear Mechanics

# publications[].label
Superconvergence of elliptic reconstructions of finite element solutions of parabolic problems in domains with piecewise smooth boundaries

# publications[].label
Can we trust the computational analysis of engineering problems?

# publications[].label
Paradigmatic error calculations for adaptive finite element approximations of convection dominated flows

# publications[].label
A posteriori error estimation for finite element solutions of Helmholtz' equation .2. Estimation of the pollution error

# publications[].label
hp optimization of finite element approximations: Analysis of the optimal mesh sequences in one dimension

# publications[].label
Guaranteed computable bounds for the exact error in the finite element solution Part I: One-dimensional model problem

# publications[].label
Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids

# streetAddress
Texas A&M University; Aerospace Engineering; 3141 TAMU