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Sparse tensor finite elements for elliptic multiple scale problems

Harbrecht, Helmut ; Schwab, Christoph

Computer Methods in Applied Mechanics and Engineering, 2011, Vol.200(45), pp.3100-3110 [Peer Reviewed Journal]

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2
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Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions

Kazeev, Vladimir ; Schwab, Christoph

Numerische Mathematik, 2018, Vol.138(1), pp.133-190 [Peer Reviewed Journal]

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3
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High-order Galerkin approximations for parametric second-order elliptic partial differential equations

Nistor, Victor ; Schwab, Christoph

Mathematical Models and Methods in Applied Sciences, 2013, Vol.23(9), pp.1729-1760 [Peer Reviewed Journal]

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4
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Space–time hp -approximation of parabolic equations

Devaud, Denis ; Schwab, Christoph

Calcolo, 2018, Vol.55(3), pp.1-23 [Peer Reviewed Journal]

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5
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Numerical analysis of lognormal diffusions on the sphere

Herrmann, Lukas ; Lang, Annika ; Schwab, Christoph

Stochastics and Partial Differential Equations: Analysis and Computations, 2018, Vol.6(1), pp.1-44

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6
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A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes

Eigel, Martin ; Gittelson, Claude ; Schwab, Christoph ; Zander, Elmar

ESAIM. Mathematical Modelling and Numerical Analysis, Sep-Oct 2015 [Peer Reviewed Journal]

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7
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Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients

Kuo, Frances ; Schwab, Christoph ; Sloan, Ian

SIAM Journal on Numerical Analysis, 2012, pp.3351-3374 [Peer Reviewed Journal]

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8
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Finite Elements with mesh refinement for wave equations in polygons

Müller, Fabian L ; Schwab, Christoph

Journal of Computational and Applied Mathematics, 01 August 2015, Vol.283, pp.163-181 [Peer Reviewed Journal]

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9
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Multilevel Monte Carlo Finite Element Methods for Stochastic Elliptic Variational Inequalities

Kornhuber, Ralf ; Schwab, Christoph ; Wolf, Maren-Wanda

SIAM Journal on Numerical Analysis, 2014, pp.1243-1268 [Peer Reviewed Journal]

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10
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Adaptive stochastic Galerkin FEM

Eigel, Martin ; Gittelson, Claude Jeffrey ; Schwab, Christoph ; Zander, Elmar

Computer Methods in Applied Mechanics and Engineering, 01 March 2014, Vol.270, pp.247-269 [Peer Reviewed Journal]

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11
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Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients

Barth, Andrea ; Schwab, Christoph ; Zollinger, Nathaniel

Numerische Mathematik, 2011, Vol.119(1), pp.123-161 [Peer Reviewed Journal]

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12
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A multiscale hp-FEM for 2D photonic crystal bands

Brandsmeier, Holger ; Schmidt, Kersten ; Schwab, Christoph

Journal of Computational Physics, 2011, Vol.230(2), pp.349-374 [Peer Reviewed Journal]

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13
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Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients

Kuo, Frances ; Schwab, Christoph ; Sloan, Ian

Foundations of Computational Mathematics, 2015, Vol.15(2), pp.411-449 [Peer Reviewed Journal]

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14
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The multi-level Monte Carlo finite element method for a stochastic Brinkman Problem

Gittelson, Claude ; Könnö, Juho ; Schwab, Christoph ; Stenberg, Rolf

Numerische Mathematik, 2013, Vol.125(2), pp.347-386 [Peer Reviewed Journal]

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15
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Tensor FEM for spectral fractional diffusion

Banjai, Lehel ; Melenk, Jens M. ; Nochetto, Ricardo H. ; Otarola, Enrique ; Salgado, Abner J. ; Schwab, Christoph

J. Found. Comp. Math. 19 (2019), pp.901-962 [Peer Reviewed Journal]

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16
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Sparse high order FEM for elliptic sPDEs

Bieri, Marcel ; Schwab, Christoph

Computer Methods in Applied Mechanics and Engineering, 2009, Vol.198(13), pp.1149-1170 [Peer Reviewed Journal]

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17
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Sparse finite element methods for operator equations with stochastic data

Petersdorff, Tobias ; Schwab, Christoph

Applications of Mathematics, 2006, Vol.51(2), pp.145-180 [Peer Reviewed Journal]

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18
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Numerical solution of parabolic equations in high dimensions

Von Petersdorff, Tobias ; Schwab, Christoph

ESAIM. Mathematical Modelling and Numerical Analysis, Jan 2004, pp.93-127 [Peer Reviewed Journal]

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19
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QMC integration for lognormal-parametric, elliptic PDEs: local supports and product weights

Herrmann, Lukas ; Schwab, Christoph

Numerische Mathematik, 2019, Vol.141(1), pp.63-102 [Peer Reviewed Journal]

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20
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Karhunen–Loève approximation of random fields by generalized fast multipole methods

Schwab, Christoph ; Todor, Radu Alexandru

Journal of Computational Physics, 2006, Vol.217(1), pp.100-122 [Peer Reviewed Journal]

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