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Searched refs:dS (Results 1 – 6 of 6) sorted by relevance

/libCEED/examples/ceed/
H A Dindex.md39 I = \int_{\partial \Omega} 1 \, dS ,
54 …mega \nabla v \cdot \nabla u \, dV - \int_{\partial \Omega} v \nabla u \cdot \hat{\bm n}\, dS = 0 .
60 \int_\Omega \nabla v \cdot \nabla u \, dV \approx \sum_e \int_{\partial \Omega_e} v(x) 1 \, dS .
/libCEED/examples/petsc/
H A Dindex.md121 …rtial \overset\circ{\bm x}} \left( \frac{\partial u}{\partial \overset\circ{\bm x}} \right)^T \, dS
122 …c{\bm x}} \right)^T}_{\bm g_{(2\times 2)}} \left(\frac{\partial u}{\partial \bm X} \right)^T \, dS
136 …dS = \int_{\Omega} \frac{\partial v}{\partial \bm X} \underbrace{\left(\frac{\partial \overset…
/libCEED/examples/python/
H A Dtutorial-6-shell.ipynb225 " I = \\int_{\\partial \\Omega} 1 \\, dS ,\n",
240 …t \\nabla u \\, dV - \\int_{\\partial \\Omega} v \\nabla u \\cdot \\hat{\\mathbf n}\\, dS = 0 .\n",
246 … \\nabla v \\cdot \\nabla u \\, dV \\approx \\sum_e \\int_{\\partial \\Omega_e} v(x) 1 \\, dS .\n",
/libCEED/examples/solids/qfunctions/
H A Dfinite-strain-mooney-rivlin.h384 CeedScalar dS[3][3] = { in ElasFSJacobian_MR() local
400 for (CeedInt m = 0; m < 3; m++) dP[j][k] += graddeltau[j][m] * S[m][k] + F[j][m] * dS[m][k]; in ElasFSJacobian_MR()
/libCEED/examples/fluids/
H A Dindex.md97 + \int_{\partial \Omega} \bm v \cdot \bm{F}(\bm q_N) \cdot \widehat{\bm{n}} \,dS
181 + \int_{\partial \Omega} \bm v \cdot \bm{F}(\bm{q}_N) \cdot \widehat{\bm{n}} \,dS & \\
198 + \int_{\partial \Omega} \bm v \cdot \bm{F}(\bm{q}_N) \cdot \widehat{\bm{n}} \,dS & \\
543 … q_N) \cdot \widehat{\bm{n}} \,dS = \int_{\partial \Omega_{inflow}} \bm v \, E_{wind} \, \bm u \cd…
550 …\bm q_N) \cdot \widehat{\bm{n}} \,dS = \int_{\partial \Omega_{outflow}} \bm v \, E \, \bm u \cdot …
/libCEED/examples/solids/
H A Dindex.md55 - \int_{\partial \Omega}{\bm{v} \cdot \left(\bm{\sigma} \cdot \hat{\bm{n}}\right)} \, dS
412 - \int_{\partial \Omega_0}{\bm{v} \cdot (\bm{P} \cdot \hat{\bm{N}})} \, dS
464 $$ (mooney-rivlin-dS-coupled)