diff --git a/ProcessLib/ThermoMechanics/Tests.cmake b/ProcessLib/ThermoMechanics/Tests.cmake
index ac0ebb7870a07ecc6debf6f330bd002e888e0002..2eefe0c410617cc368b6e52035d0d952226b721d 100644
--- a/ProcessLib/ThermoMechanics/Tests.cmake
+++ b/ProcessLib/ThermoMechanics/Tests.cmake
@@ -48,3 +48,37 @@ AddTest(
     expected_tm_a_pcs_0_ts_20_t_20000.000000.vtu tm_a_pcs_0_ts_20_t_20000.000000.vtu sigma_yy sigma_yy
     expected_tm_a_pcs_0_ts_20_t_20000.000000.vtu tm_a_pcs_0_ts_20_t_20000.000000.vtu sigma_zz sigma_zz
 )
+
+AddTest(
+    NAME 2D_ThermoElastic_IGLU_Plane_Strain_Quadratic_Mesh
+    PATH ThermoMechanics
+    EXECUTABLE ogs
+    EXECUTABLE_ARGS iglu_quarter_plane_strain_quad.prj
+    WRAPPER time
+    TESTER vtkdiff
+    REQUIREMENTS NOT (OGS_USE_LIS OR OGS_USE_MPI)
+    ABSTOL 1e-15 RELTOL 1e-15
+    DIFF_DATA
+    expected_tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu displacement displacement
+    expected_tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu temperature temperature
+    expected_tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu sigma_xx sigma_xx
+    expected_tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu sigma_yy sigma_yy
+    expected_tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu sigma_zz sigma_zz
+)
+
+AddTest(
+    NAME 2D_ThermoElastic_IGLU_Axisymmetric_Plane_Strain_Quadratic_Mesh
+    PATH ThermoMechanics
+    EXECUTABLE ogs
+    EXECUTABLE_ARGS iglu_axisymmetric_plane_strain_quad.prj
+    WRAPPER time
+    TESTER vtkdiff
+    REQUIREMENTS NOT (OGS_USE_LIS OR OGS_USE_MPI)
+    ABSTOL 1e-15 RELTOL 1e-15
+    DIFF_DATA
+    expected_tm_a_quad_pcs_0_ts_20_t_20000.000000.vtu tm_a_quad_pcs_0_ts_20_t_20000.000000.vtu displacement displacement
+    expected_tm_a_quad_pcs_0_ts_20_t_20000.000000.vtu tm_a_quad_pcs_0_ts_20_t_20000.000000.vtu temperature temperature
+    expected_tm_a_quad_pcs_0_ts_20_t_20000.000000.vtu tm_a_quad_pcs_0_ts_20_t_20000.000000.vtu sigma_xx sigma_xx
+    expected_tm_a_quad_pcs_0_ts_20_t_20000.000000.vtu tm_a_quad_pcs_0_ts_20_t_20000.000000.vtu sigma_yy sigma_yy
+    expected_tm_a_quad_pcs_0_ts_20_t_20000.000000.vtu tm_a_quad_pcs_0_ts_20_t_20000.000000.vtu sigma_zz sigma_zz
+)