Brittany Hamfeldt

Hamfeldt, Brittany (2019). Convergence framework for the second boundary value problem for the Monge-Amp`ere equation. SIAM Journal on Numerical Analysis, 57(2), 945-971.

Hamfeldt, Brittany, & Salvador, Tiago (2018). Higher-order adaptive finite difference methods for fully nonlinear elliptic equations. Journal of Scientific Computing, 75(3), 1282-1306.

Hamfeldt, Brittany (2018). Convergent approximation of non-continuous surfaces of prescribed Gaussian curvature. Communications on Pure and Applied Analysis, 17(2), 671-707.

Yang, Yunan, & Engquist, Bjorn, & Sun, Junzhe, & Hamfeldt, Brittany (2018). Application of Optimal Transport and the Quadratic Wasserstein Metric to Full-Waveform Inversion. Geophysics, 83(1), R43-R62.

Hamfeldt, Brittany (2018). Meshfree finite difference approximations for functions of the eigenvalues of the Hessian. Numerische Mathematik, 138(1), 75-99.

Feng, Zexin, & Hamfeldt, Brittany, & Liang, Rongguang, & Cheng, Dewen, & Wang, Yongtian (2017). Simplified freeform optics design for complicated laser beam shaping. Applied Optics, 56(33), 9308-9314.

Liu, Jun, & Hamfeldt, Brittany, & Oberman, Adam, & Xiao, Mingqing (2017). A multigrid scheme for 3D Monge-Ampere equations. International Journal of Computer Mathematics, 94(9), 1850-1866.

Froese, Brittany, & Oberman, Adam, & Salvador, Tiago (2017). Numerical methods for the 2-Hessian elliptic partial differential equation. IMA Journal of Numerical Analysis, 37(1), 209-236.

Engquist, Bjorn, & Hamfeldt, Brittany, & Yang, Yunan (2016). Optimal transport for seismic full waveform inversion. Communications in Mathematical Sciences, 14(8), 2309-2330.

Feng, Zexin, & Hamfeldt, Brittany, & Liang, Rongguang (2016). Freeform illumination optics construction following an optimal transport map. Applied Optics, 55(16), 4301-4306.

Feng, Zexin, & Hamfeldt, Brittany, & Rongguang, Liang (2015). Composite method for precise freeform optical beam shaping. Applied Optics, 54(31), 9364-9369.

Feng, Zexin, & Hamfeldt, Brittany, & Huang, Chih-Yu, & Ma, Donglin, & Liang, Rongguang (2015). Creating unconventional geometric beams with large depth of field using double freeform-surface optics. Applied Optics, 54(20), 6277-6281.

Engquist, Bjorn, & Hamfeldt, Brittany, & Tsai, Yen-Hsi Richard (2015). Fast sweeping methods for hyperbolic systems of conservation laws at steady state II. Journal of Computational Physics, 286, 70-86.

Engquist, Bjorn, & Hamfeldt, Brittany (2014). Application of the Wasserstein metric to seismic signals. Communications in Mathematical Sciences, 12(5), 979-988.

Benamou, Jean-David, & Hamfeldt, Brittany, & Oberman, Adam (2014). Numerical solution of the Optimal Transportation problem using the Monge-Ampère equation. Journal of Computational Physics, 260, 107-126.

Hamfeldt, Brittany, & Oberman, Adam (2013). Convergent filtered schemes for the Monge-Ampère partial differential equation. SIAM Journal on Numerical Analysis, 51(1), 423-444.

Engquist, Bjorn, & Hamfeldt, Brittany, & Tsai, Yen-Hsi Richard (2013). Fast sweeping methods for hyperbolic systems of conservation laws at steady state. Journal of Computational Physics, 255, 316-338.

Hamfeldt, Brittany (2012). A numerical method for the elliptic Monge-Ampere equation with transport boundary conditions. SIAM Journal on Scientific Computing, 34(3), A1432-A1459.

Hamfeldt, Brittany, & Oberman, Adam (2011). Convergent finite difference solvers for viscosity solutions of the elliptic Monge-Ampère equation in dimensions two and higher. SIAM Journal on Numerical Analysis, 49(4), 1692-1714.

Hamfeldt, Brittany, & Oberman, Adam (2011). Fast finite difference solvers for singular solutions of the elliptic Monge-Ampère equation. Journal of Computational Physics, 230(3), 818-834.

Benamou, Jean-David, & Hamfeldt, Brittany, & Oberman, Adam (2010). Two numerical methods for the elliptic Monge-Ampère equation. ESAIM: Mathematical Modelling and Numerical Analysis, 44(4), 737-758.

Hamfeldt, Brittany, & Oberman, Adam (2009). Numerical averaging of non-divergence structure elliptic operators. Communications in Mathematical Sciences, 7(4), 785-804.