Evan Gawlik

E. S. Gawlik & M. Neunteufel. Finite Element Approximation of the Einstein Tensor. [pdf | arxiv]

E. S. Gawlik & M. Neunteufel. Finite Element Approximation of Scalar Curvature in Arbitrary Dimension. [pdf | arxiv]

E. S. Gawlik. Iterations for the Unitary Sign Decomposition and the Unitary Eigendecomposition. [pdf | arxiv]

E. S. Gawlik & Y. Nakatsukasa. Zolotarev's Fifth and Sixth Problems. [pdf | arxiv]

E. S. Gawlik & F. Gay-Balmaz. Variational and Thermodynamically Consistent Finite Element Discretization for Heat Conducting Viscous Fluids. Mathematical Models and Methods in Applied Sciences, to appear. [pdf]

Y. Berchenko-Kogan & E. S. Gawlik. Finite Element Approximation of the Levi-Civita Connection and its Curvature in Two Dimensions. Foundations of Computational Mathematics, to appear. [pdf | doi]

E. S. Gawlik & F. Gay-Balmaz. A Finite Element Method for MHD that Preserves Energy, Cross-Helicity, Magnetic Helicity, Incompressibility, and div B = 0. Journal of Computational Physics, 450, 110847 (2022). [pdf | doi]

E. S. Gawlik, M. J. Holst, & M. W. Licht. Local Finite Element Approximation of Sobolev Differential Forms. ESAIM: Mathematical Modelling and Numerical Analysis, 55(5), 2075-2099 (2021). [pdf | doi]

E. S. Gawlik & F. Gay-Balmaz. A Structure-Preserving Finite Element Method for Compressible Ideal and Resistive MHD. Journal of Plasma Physics, 87(5), 835870501 (2021). [pdf | doi]

E. S. Gawlik & Y. Nakatsukasa. Approximating the pth Root by Composite Rational Functions. Journal of Approximation Theory, 266, 105577 (2021). [pdf | doi]

E. S. Gawlik & F. Gay-Balmaz. A Variational Finite Element Discretization of Compressible Flow. Foundations of Computational Mathematics, 21, 961-1001 (2021). [pdf | doi]

E. S. Gawlik. Rational Minimax Iterations for Computing the Matrix pth Root. Constructive Approximation, 54, 1-34 (2021). [pdf | doi]

E. S. Gawlik. High-Order Approximation of Gaussian Curvature with Regge Finite Elements. SIAM Journal on Numerical Analysis, 58(3), 1801-1821 (2020). [pdf | doi]

E. S. Gawlik & F. Gay-Balmaz. A Conservative Finite Element Method for the Incompressible Euler Equations with Variable Density. Journal of Computational Physics, 412, 109439 (2020). [pdf | doi]

E. S. Gawlik. Zolotarev Iterations for the Matrix Square Root. SIAM Journal on Matrix Analysis and Applications, 40(2), 696-719 (2019). [pdf | doi]

E. S. Gawlik, Y. Nakatsukasa, & B. D. Sutton. A Backward Stable Algorithm for Computing the CS Decomposition via the Polar Decomposition. SIAM Journal on Matrix Analysis and Applications 39(3), 1448-1469 (2018). [pdf | doi]

E. S. Gawlik & M. Leok. High-Order Retractions on Matrix Manifolds Using Projected Polynomials. SIAM Journal on Matrix Analysis and Applications 39(2), 801-828 (2018). [pdf | doi]

E. S. Gawlik & M. Leok. Embedding-Based Interpolation on the Special Orthogonal Group. SIAM Journal on Scientific Computing 40(2), A721-A746 (2018). [pdf | doi]

E. S. Gawlik & M. Leok. Interpolation on Symmetric Spaces via the Generalized Polar Decomposition. Foundations of Computational Mathematics 18(3), 757-788 (2018). [pdf | doi]

E. S. Gawlik & M. Leok. Iterative Computation of the Fréchet Derivative of the Polar Decomposition. SIAM Journal on Matrix Analysis and Applications 38(4), 1354-1379 (2017). [pdf | doi]

E. S. Gawlik & A. J. Lew. Unified Analysis of Finite Element Methods for Problems with Moving Boundaries. SIAM Journal on Numerical Analysis 53(6), 2822-2846 (2016). [pdf | doi]

E. S. Gawlik, H. Kabaria, & A. J. Lew. High-Order Methods for Low Reynolds Number Flows around Moving Obstacles Based on Universal Meshes. International Journal for Numerical Methods in Engineering 104(7), 513-538 (2015). [pdf | doi]
E. S. Gawlik & A. J. Lew. Supercloseness of Orthogonal Projections onto Nearby Finite Element Spaces. ESAIM: Mathematical Modelling and Numerical Analysis 49(2), 559-576 (2015). [pdf | doi]
E. S. Gawlik & A. J. Lew. High-Order Finite Element Methods for Moving Boundary Problems with Prescribed Boundary Evolution. Computer Methods in Applied Mechanics and Engineering 278, 314-346 (2014). [pdf | doi]
M. Desbrun, E. S. Gawlik, F. Gay-Balmaz, & V. Zeitlin. Variational Discretization for Rotating Stratified Fluids. Discrete and Continuous Dynamical Systems 34(2), 477-509 (2014). [pdf | doi]
E. S. Gawlik, P. Mullen, D. Pavlov, J. E. Marsden, & M. Desbrun. Geometric, Variational Discretization of Continuum Theories. Physica D: Nonlinear Phenomena 240(21), 1724-1760 (2011). [pdf | doi]
E. S. Gawlik, J. E. Marsden, P. Du Toit, & S. Campagnola. Lagrangian Coherent Structures in the Planar Elliptic Restricted Three-Body Problem. Celestial Mechanics and Dynamical Astronomy 103, 227-249 (2009). [pdf | doi]
S. Yockel, E. S. Gawlik, & A. K. Wilson. Structure and Stability of the Organo-Noble Gas Molecules XNgCCX and XNgCCNgX (Ng = Kr, Ar; X = F, Cl). Journal of Physical Chemistry A 111, 11261-11268 (2007). [doi]

F. Gay-Balmaz & E. S. Gawlik. Geometric Variational Finite Element Discretizations for Fluids. IFAC-PapersOnLine, 54(19), 8-12 (2021). [pdf | doi]
E. S. Gawlik. Finite Element Methods for Geometric Evolution Equations. In: F. Nielsen and F. Barbaresco (Eds.), Geometric Science of Information. Lecture Notes in Computer Science. Basel, Switzerland: Springer (2019). [pdf | doi]
M. M. Chiaramonte, E. S. Gawlik, H. Kabaria, & A. J. Lew. Universal Meshes for the Simulation of Brittle Fracture and Moving Boundary Problems. In: K. Weinberg & A. Pandolfi (Eds.), Innovative Numerical Approaches for Materials and Structures in Multi-Field and Multi-Scale Problems. Lecture Notes in Applied and Computational Mechanics. Berlin, Germany: Springer (2016). [pdf | doi]
A. J. Lew, R. Rangarajan, M. J. Hunsweck, E. S. Gawlik, H. Kabaria, & Y. Shen. Universal Meshes: Enabling High-Order Simulation of Problems with Moving Domains. IACM Expressions, Bulletin for the International Association of Computational Mechanics, 32, 12-16 (2013). [pdf]
E. S. Gawlik, J. E. Marsden, S. Campagnola, & A. Moore. Invariant Manifolds, Discrete Mechanics, and Trajectory Design for a Mission to Titan. 19th AAS/AIAA Space Flight Mechanics Meeting, Savannah, Georgia, AAS 09-226, 1887-1903 (2009). [pdf]

E. S. Gawlik, T. Munson, J. Sarich, & S. M. Wild. The TAO Linearly Constrained Augmented Lagrangian Method for PDE-Constrained Optimization. ANL/MCS-P2003-0112 (2012). [pdf | link]

E. S. Gawlik. Design and Analysis of Numerical Methods for Free- and Moving-Boundary Problems. Ph.D. Thesis, Stanford University, (2015). [pdf | link]

E. S. Gawlik. Geometric, Variational Discretization of Continuum Theories. Undergraduate Senior Thesis, California Institute of Technology, (2010). [pdf | link]