Approximation Theory XIV: San Antonio 2013 by Gregory E. Fasshauer, Larry L. Schumaker

By Gregory E. Fasshauer, Larry L. Schumaker

These complaints have been ready in reference to the 14th foreign convention on Approximation idea, which was once held April 7-10, 2013 in San Antonio, Texas. The convention was once the fourteenth in a sequence of conferences in Approximation concept held at a variety of destinations within the usa. The incorporated invited and contributed papers hide various parts of approximation concept with a distinct emphasis at the most modern and energetic parts comparable to compressed sensing, isogeometric research, anisotropic areas, radial foundation services and splines. Classical and summary approximation is usually incorporated. The e-book might be of curiosity to mathematicians, engineers\ and laptop scientists operating in approximation idea, computer-aided geometric layout, numerical research and comparable software areas.

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199(5–8), 229–263 (2010) 3. : An isogeometric solid-like shell element for nonlinear analysis. Int. J. Numer. Methods Eng. 95(3), 238–256 (2013) 4. : Isogeometric fluid–structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines. Comput. Methods Appl. Mech. Eng. 249, 28–41 (2012) 5. : Isogeometric large deformation frictionless contact using T-splines. Comput. Methods Appl. Mech. Eng. 269, 394–414 (2014) 6. : T-spline simplification and local refinement.

Prestin LM ( f − SM f ) AΩM, q q θΩM (h)mchM ( f − SM f ) ∇ q h ∈ GS (MT ) ⎫ ⎥ Ωq × |ch (IM )|q + ≥M≥2 |θΩM (z)ch + MT z (IM )|q z ∈ Zd \{0} ∇ q πIP |θΩM (h)chM ( f − SM f )|q . h ∈ GS (MT ) In the remaining sum we first apply the aliasing formula (4). Then, the Hölder inequality yields ⎥ |θΩM (h)chM ( f − SM f )|q = h ∈ GS (MT ) ⎫q M (h) θΩq h ∈ GS (MT ) ⎥ z ∈ Zd \{0} M (h) θΩq ∇ h ∈ GS (MT ) |ch + MT z ( f )| ⎫q/ p M (h + MT z) θ−μp z ∈ Zd \{0} ⎥ × z ∈ Zd \{0} ⎫ |θμM (h + MT z)ch + MT z ( f )|q .

269, 394–414 (2014) 6. : T-spline simplification and local refinement. ACM Trans. Graph. 23(3), 276–283 (2004) 7. : Adaptive isogeometric analysis by local h-refinement with T-splines. Comput. Methods Appl. Mech. Eng. 199(5–8), 264–275 (2010) 8. : Local refinement of analysis-suitable T-splines. Comput. Methods Appl. Mech. Eng. 213–216, 206–222 (2012) 9. : On linear independence of T-spline blending functions. Comput. Aided Geom. Des. 29(1), 63–76 (2012) 10. : Analysis-suitable T-splines of arbitrary degree: definition, linear independence and approximation properties.

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