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verification: the tie patch test

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An oracle case of uniaxial tension across a tie of non-matching meshes; the tie formulation
in docs/fem.md and the literature survey; ROADMAP M7 and parity updated.

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01UhhZMBTviDQxZvwnyP89fo
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jyvikoandClaude Opus 5.5 authored and Irakli Kourtis committed 2026-10-14 15:28:02 -04:00
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docs/solvers/literature.md
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@@ -1329,6 +1329,11 @@ written from (cited again in the module docs); docs/fem.md describes the formula
deformations*, CMAME 193:4891–4913, 2004; C. A. Coulomb's law, *Théorie des machines simples*,
1785. The tangent is symmetrised like the follower pressure's (the non-symmetric coupling to
the pressure is left out; the residual is exact).
- Ties by dual mortar constraints: B. I. Wohlmuth, *A mortar finite element method using dual
spaces for the Lagrange multiplier*, SIAM J. Numer. Anal. 38(3):989–1012, 2000; A. Popp, B. I.
Wohlmuth, M. W. Gee, W. A. Wall, *Dual quadratic mortar finite element methods for 3D finite
deformation contact*, SIAM J. Sci. Comput. 34(4):B421–B446, 2012; mesh tying in solid
mechanics, M. A. Puso, *A 3D mortar method for solid mechanics*, IJNME 59:315–336, 2004.
- The active set inside Newton (the max() of the regularised pressure, a semismooth Newton
method): P. Alart, A. Curnier, *A mixed formulation for frictional contact problems prone to
Newton like solution methods*, CMAME 92:353–375, 1991; Popp et al. 2009.