Education

Ph.D. Applied Mathematics, 2004
University of Colorado, Boulder
Thesis Title: First-Order System Least Squares for Geometrically Nonlinear Elasticity in Nonsmooth Domains
Thesis Advisor: Tom Manteuffel

M.S. Applied Mathematics, 2000
University of Tulsa
Research Area: Vortex Energy Distribution: Modeling and Simulation

B.S. Engineering Physics and Mathematics, 1998
Oral Roberts University

Experience

Visiting Assistant Professor of Mathematics & Lilly Teaching Fellow
2004-Present, Wabash College
Teaching, research, service and advising.

Instructor
Spring 2003, Summer 2002, Department of Applied Mathematics, University of Colorado
Had full course responsiblilities including directing teaching assistants and maintaining course website.

Research Assistant
2001-2004, Department of Applied Mathematics, University of Colorado
Researched multilevel computational mathematics.
Contributed to weekly research seminar and grant proposals.

Teaching Assistant
2000-2001, Department of Applied Mathematics, University of Colorado
Taught recitation classes, held office hours and conducted review sessions.

Adjunct Instructor
Summer 1999, Summer 2000, Tulsa Community College
Had full course and laboratory responsibilities.

Teaching Assistant
1998-2000, Department of Mathematics and Computer Science, University of Tulsa
Taught recitation classes, graded homework and exams.

Student Research Intern
Summer 1997, Division of Health Physics, Argonne National Laboratory
Contributed to the design of a stack monitoring system for radiation producing facilities.
Helped refine analysis of a surface detection technique.

Honors and Awards

Co-PI, National Science Foundation Grant DMS-0511430, Least-Squares Finite Element Methods for Nonlinear Partial Differential Equations, 2006-2008, $110,000.

Lilly Teaching Fellow, Wabash College, 2004-2006.

Short term Research Guest, Lawrence Livermore National Laboratory, Summers 2004, 2005, 2006.

NSF VIGRE Graduate Fellowship, Department of Applied Mathematics, University of Colorado, 2001-2004.

SIAM CS&E Travel Grant, February 2003.

Most Outstanding Senior, Engineering and Physics Department, 1998.

Most Outstanding Senior, Mathematics Department, 1998.

Most Outstanding Research and Design Project, Engineering and Physics Department, 1998.

Courses Taught

Precalculus/Calculus I   (Fall 06/Spring 07)

Calculus I   (Spring 05, Fall 05, Spring 06)

Calculus I for Engineers   (Spring 03)

Calculus II   (Fall 04, Spring 05, Fall 06)

Calculus III for Engineers   (Summer 02)

Physics I   (Summer 99)

Physics II   (Summer 00)

Linear Algebra   (Spring 05)

Differential Equations   (Spring 06)

Partial Differential Equations   (Fall 05)

Numerical Analysis   (Fall 06)

Student comments and course evaluations can be seen at http://persweb.wabash.edu/facstaff/westphac/evaluations.html.

Academic Service

Senior comprehensive exam cordinator, 2004-Present.

Student competitions coordinator, 2004-Present.

Undergraduate Research Committee, 2006-Present.

Taught 8 week Mathematica tutorial seminar, Wabash College, Fall 2004.

Student Research

Summer research internship advisor, ``Finite Element Models for Viscoelastic Fluids", Haris Amin, Wabash College, 2006.

Summer research internship advisor, ``On a Weighted-Norm Least-Squares Method for Problems with Singularities", Sam Calisch, Wabash College, 2006.

Senior research project advisor, ``An Analysis of the Three-Body Problem", Colin McClelland, Wabash College, 2006.

Senior research project advisor, ``Modeling Heat Flow and Cooking Techniques for Various Meats.", Hunter Fields, Wabash College, 2006.

Senior research project advisor, ``Mathematics of Juggling", Daniel Schubert, Wabash College, 2005.

Research Interests

Computational modeling of physical systems from continuum mechanics. Finite element methods for partial differential equations including Galerkin and least squares methods. Iterative solution techniques for large sparse linear systems including multigrid methods. Nonlinear systems of partial differential equations and analysis.

A more complete overview of research and current projects can be seen at http://persweb.wabash.edu/facstaff/westphac/research.html.

Publications

Journal Articles:

Z. Cai and C. Westphal, "H(div)-Conforming Weighted-Norm Least Squares for Problems with Reduced Regularity," (in preparation).

Z. Cai and C. Westphal, "A Mixed Least-Squares Finite Element Method for Viscoelasticity," (in preparation).

E. Lee, T. Manteuffel and C. Westphal, "Weighted-Norm First-Order System Least Squares for Problems with Three Dimensional Edge Singularities." SIAM Journal on Numerical Analysis, (submitted).

E. Lee, T. Manteuffel and C. Westphal, "Weighted-Norm First-Order System Least Squares for Problems with Corner Singularities." SIAM J. Numer. Anal. 44 (2006), pp. 1974-1996.

T. Manteuffel, S.F. McCormick, J.G. Schmidt and C. Westphal, "First-Order System Least Squares (FOSLS) for Geometrically Nonlinear Elasticity." SIAM J. Numer. Anal. 44 (2006), pp. 2057-2081.

Theses:

C. Westphal, "First-Order System Least Squares (FOSLS) for Geometrically Nonlinear Elasticity in Nonsmooth Domains." Ph.D. Thesis, University of Colorado, 2004.

S. Nuchia and C. Westphal, "Energy Statistics in Filament Model of 3-D Vorticity." M.S. Thesis, University of Tulsa, 2000.

Selected Presentations

Jan 2006,Iterative Methods: How to Solve Tough Problems Quickly. Mathematics Department Colloquium, Wabash College.

Apr. 2005, Computational Modeling with Partial Differential Equations (PDEs). Mathematics Department Colloquium, Rose-Hulman Institute of Technology.

Oct. 2004, A Least-Squares Finite Element formulation of the Geometrically-Nonlinear Elasticity Equations. Computational and Applied Mathematics Seminar, Purdue University.

May 2004, First-Order System Least-Squares for Problems with Boundary Singularities. Center for Applied Scientific Computing, Lawrence Livermore National Laboratory.

May 2004, Numerical Issues in Modeling with Partial Differential Equations. Mathematics Department Colloquium, Wabash College.

June 2003, First-Order System Least Squares for Geometrically Nonlinear Elasticity. SIAM Annual Meeting, Montreal, QC.

Feb. 2003, First-Order System Least Squares for Geometrically Nonlinear Elasticity. SIAM Computational Science and Engineering Conference, San Diego.

Mar. 2003, Why Would Anyone Want To Go To Graduate School? Engineering and Physics Seminar, Oral Roberts University.

Mar. 2003, First-Order System Least Squares for Geometrically Nonlinear Elasticity, 11th Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO.

July 2001, Nonlinear Multigrid in 2 and 3 Dimensions. Department of Applied Mathematics NSF VIGRE Research Presentations, University of Colorado.

Professional Activities and Service

Member of SIAM, AMS, MAA.

Journal Referee, SIAM Journal on Numerical Analysis.

Journal Referee, Numerical Linear Algebra with Applications.

Co-Founder and Co-President (2003-2004) of SIAM Graduate Student Chapter, University of Colorado, Boulder.

Attendee at annual Lake City AMG/FOSLS Summit, a small research workshop focusing on algebraic multigrid methods and least-squares finite element methods.

Computational experience in Mathematica, Matlab, HTML, Perl, C, FORTRAN, LaTeX, Unix, Linux.

Selected Graduate Coursework

References