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- Eunjung Lee, Thomas A. Manteuffel, Chad R. Westphal
- SIAM J. Numerical Analysis
- 2006

A weighted-norm least-squares method is considered for the numerical approximation of solutions that have singularities at the boundary. While many methods suffer from a global loss of accuracy due… (More)

We present a new least-squares finite element method for the steady Oldroyd type viscoelastic fluids. The overall iterative procedure combines a nonlinear nested iteration, where adaptive mesh… (More)

- Chad R. Westphal
- Mental retardation
- 1975

- Thomas A. Manteuffel, Stephen F. McCormick, J. G. Schmidt, Chad R. Westphal
- SIAM J. Numerical Analysis
- 2004

We present a first-order system least-squares (FOSLS) method to approximate the solution to the equations of geometrically nonlinear elasticity in two dimensions. With assumptions of regularity on… (More)

- Eunjung Lee, Thomas A. Manteuffel, Chad R. Westphal
- SIAM J. Numerical Analysis
- 2008

A weighted- norm first-order system least-squares (FOSLS) method for div/curl prob- lems with edge singularities is presented. Traditional finite element methods, including least-squares methods,… (More)

- Zhiqiang Cai, Chad R. Westphal
- SIAM J. Numerical Analysis
- 2008

This paper presents analysis of a weighted-norm least squares finite element method for elliptic problems with boundary singularities. We use $H(div)$ conforming Raviart-Thomas elements and… (More)

- S. Bidwell, M. E. Hassell, Chad R. Westphal
- Math. Comput.
- 2012

We consider second order elliptic partial differential equations with coefficients that are singular or degenerate at an interior point of the domain. This paper presents formulation and analysis of… (More)

- Eunjung Lee, Thomas A. Manteuffel, Chad R. Westphal
- SIAM J. Scientific Computing
- 2015

In previous work, the first-order system LL* (FOSLL*) method was developed for linear partial differential equations. This approach seeks to minimize the residual of the equations in a dual norm… (More)

- Chad R. Westphal
- Comput. Meth. in Appl. Math.
- 2019

This paper develops a new finite element approach for the efficient approximation of classical solutions of the elliptic Monge–Ampère equation. We use an outer Newton-like linearization and a… (More)